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Finding the Fourth Proportional to 502.26, 693.41 and 337.02

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Solution

The fourth proportional to 502.26, 693.41 and 337.02 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 693.41 = 337.02 : x
  2. Step 2: Convert to fraction form
    502.26/693.41 = 337.02/x
  3. Step 3: Cross multiply
    502.26x = 693.41 × 337.02
  4. Step 4: Simplify right side
    502.26x = 233,693.04
  5. Step 5: Solve for x
    x = 233,693.04/502.26
  6. Step 6: Final answer
    x = 465.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.