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Finding the Fourth Proportional to 632.31, 872.43 and 411.24

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Solution

The fourth proportional to 632.31, 872.43 and 411.24 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.31 : 872.43 = 411.24 : x
  2. Step 2: Convert to fraction form
    632.31/872.43 = 411.24/x
  3. Step 3: Cross multiply
    632.31x = 872.43 × 411.24
  4. Step 4: Simplify right side
    632.31x = 358,778.11
  5. Step 5: Solve for x
    x = 358,778.11/632.31
  6. Step 6: Final answer
    x = 567.41

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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.