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Finding the Fourth Proportional to 510.75, 766.13 and 202.75

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Solution

The fourth proportional to 510.75, 766.13 and 202.75 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 766.13 = 202.75 : x
  2. Step 2: Convert to fraction form
    510.75/766.13 = 202.75/x
  3. Step 3: Cross multiply
    510.75x = 766.13 × 202.75
  4. Step 4: Simplify right side
    510.75x = 155,329.93
  5. Step 5: Solve for x
    x = 155,329.93/510.75
  6. Step 6: Final answer
    x = 304.12

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.75, 767.63 and 203.75
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.