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Finding the Fourth Proportional to 510.20, 765.42 and 366.20

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Solution

The fourth proportional to 510.20, 765.42 and 366.20 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 765.42 = 366.20 : x
  2. Step 2: Convert to fraction form
    510.20/765.42 = 366.20/x
  3. Step 3: Cross multiply
    510.20x = 765.42 × 366.20
  4. Step 4: Simplify right side
    510.20x = 280,296.80
  5. Step 5: Solve for x
    x = 280,296.80/510.20
  6. Step 6: Final answer
    x = 549.39

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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.