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Finding the Fourth Proportional to 510.99, 766.46 and 280.33

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Solution

The fourth proportional to 510.99, 766.46 and 280.33 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 766.46 = 280.33 : x
  2. Step 2: Convert to fraction form
    510.99/766.46 = 280.33/x
  3. Step 3: Cross multiply
    510.99x = 766.46 × 280.33
  4. Step 4: Simplify right side
    510.99x = 214,861.73
  5. Step 5: Solve for x
    x = 214,861.73/510.99
  6. Step 6: Final answer
    x = 420.48

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Find fourth proportional to 255.50, 383.23 and 140.17
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.