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Finding the Fourth Proportional to 407.42, 562.25 and 232.77

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Solution

The fourth proportional to 407.42, 562.25 and 232.77 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 562.25 = 232.77 : x
  2. Step 2: Convert to fraction form
    407.42/562.25 = 232.77/x
  3. Step 3: Cross multiply
    407.42x = 562.25 × 232.77
  4. Step 4: Simplify right side
    407.42x = 130,874.93
  5. Step 5: Solve for x
    x = 130,874.93/407.42
  6. Step 6: Final answer
    x = 321.23

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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.