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Finding the Fourth Proportional to 407.33, 562.17 and 232.71

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Solution

The fourth proportional to 407.33, 562.17 and 232.71 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.33 : 562.17 = 232.71 : x
  2. Step 2: Convert to fraction form
    407.33/562.17 = 232.71/x
  3. Step 3: Cross multiply
    407.33x = 562.17 × 232.71
  4. Step 4: Simplify right side
    407.33x = 130,822.58
  5. Step 5: Solve for x
    x = 130,822.58/407.33
  6. Step 6: Final answer
    x = 321.17

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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.