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Finding the Fourth Proportional to 407.57, 562.42 and 232.91

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Solution

The fourth proportional to 407.57, 562.42 and 232.91 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 562.42 = 232.91 : x
  2. Step 2: Convert to fraction form
    407.57/562.42 = 232.91/x
  3. Step 3: Cross multiply
    407.57x = 562.42 × 232.91
  4. Step 4: Simplify right side
    407.57x = 130,994.94
  5. Step 5: Solve for x
    x = 130,994.94/407.57
  6. Step 6: Final answer
    x = 321.41

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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.