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Finding the Fourth Proportional to 502.38, 693.51 and 305.97

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Solution

The fourth proportional to 502.38, 693.51 and 305.97 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.38 : 693.51 = 305.97 : x
  2. Step 2: Convert to fraction form
    502.38/693.51 = 305.97/x
  3. Step 3: Cross multiply
    502.38x = 693.51 × 305.97
  4. Step 4: Simplify right side
    502.38x = 212,193.25
  5. Step 5: Solve for x
    x = 212,193.25/502.38
  6. Step 6: Final answer
    x = 422.38

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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.