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Finding the Fourth Proportional to 407.46, 562.22 and 232.78

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Solution

The fourth proportional to 407.46, 562.22 and 232.78 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 562.22 = 232.78 : x
  2. Step 2: Convert to fraction form
    407.46/562.22 = 232.78/x
  3. Step 3: Cross multiply
    407.46x = 562.22 × 232.78
  4. Step 4: Simplify right side
    407.46x = 130,873.57
  5. Step 5: Solve for x
    x = 130,873.57/407.46
  6. Step 6: Final answer
    x = 321.19

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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.