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Finding the Fourth Proportional to 502.75, 757.96 and 467.53

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Solution

The fourth proportional to 502.75, 757.96 and 467.53 is: 704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.75 : 757.96 = 467.53 : x
  2. Step 2: Convert to fraction form
    502.75/757.96 = 467.53/x
  3. Step 3: Cross multiply
    502.75x = 757.96 × 467.53
  4. Step 4: Simplify right side
    502.75x = 354,369.04
  5. Step 5: Solve for x
    x = 354,369.04/502.75
  6. Step 6: Final answer
    x = 704.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.