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Finding the Fourth Proportional to 415, 572.70 and 231

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Solution

The fourth proportional to 415, 572.70 and 231 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 572.70 = 231 : x
  2. Step 2: Convert to fraction form
    415/572.70 = 231/x
  3. Step 3: Cross multiply
    415x = 572.70 × 231
  4. Step 4: Simplify right side
    415x = 132,293.70
  5. Step 5: Solve for x
    x = 132,293.70/415
  6. Step 6: Final answer
    x = 318.78

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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.