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Finding the Fourth Proportional to 502.53, 693.13 and 334.29

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Solution

The fourth proportional to 502.53, 693.13 and 334.29 is: 461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 693.13 = 334.29 : x
  2. Step 2: Convert to fraction form
    502.53/693.13 = 334.29/x
  3. Step 3: Cross multiply
    502.53x = 693.13 × 334.29
  4. Step 4: Simplify right side
    502.53x = 231,706.43
  5. Step 5: Solve for x
    x = 231,706.43/502.53
  6. Step 6: Final answer
    x = 461.08

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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.