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Finding the Fourth Proportional to 502.01, 693.17 and 334.12

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Solution

The fourth proportional to 502.01, 693.17 and 334.12 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.01 : 693.17 = 334.12 : x
  2. Step 2: Convert to fraction form
    502.01/693.17 = 334.12/x
  3. Step 3: Cross multiply
    502.01x = 693.17 × 334.12
  4. Step 4: Simplify right side
    502.01x = 231,601.54
  5. Step 5: Solve for x
    x = 231,601.54/502.01
  6. Step 6: Final answer
    x = 461.35

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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.