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Finding the Fourth Proportional to 472.31, 708.17 and 143.15

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Solution

The fourth proportional to 472.31, 708.17 and 143.15 is: 214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.31 : 708.17 = 143.15 : x
  2. Step 2: Convert to fraction form
    472.31/708.17 = 143.15/x
  3. Step 3: Cross multiply
    472.31x = 708.17 × 143.15
  4. Step 4: Simplify right side
    472.31x = 101,371.35
  5. Step 5: Solve for x
    x = 101,371.35/472.31
  6. Step 6: Final answer
    x = 214.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.