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Finding the Fourth Proportional to 632.56, 872.62 and 411.64

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Solution

The fourth proportional to 632.56, 872.62 and 411.64 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.56 : 872.62 = 411.64 : x
  2. Step 2: Convert to fraction form
    632.56/872.62 = 411.64/x
  3. Step 3: Cross multiply
    632.56x = 872.62 × 411.64
  4. Step 4: Simplify right side
    632.56x = 359,205.30
  5. Step 5: Solve for x
    x = 359,205.30/632.56
  6. Step 6: Final answer
    x = 567.86

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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.