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Finding the Fourth Proportional to 407.52, 562.32 and 232.80

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Solution

The fourth proportional to 407.52, 562.32 and 232.80 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.52 : 562.32 = 232.80 : x
  2. Step 2: Convert to fraction form
    407.52/562.32 = 232.80/x
  3. Step 3: Cross multiply
    407.52x = 562.32 × 232.80
  4. Step 4: Simplify right side
    407.52x = 130,908.10
  5. Step 5: Solve for x
    x = 130,908.10/407.52
  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.