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Finding the Fourth Proportional to 641.61, 886.01 and 408.87

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Solution

The fourth proportional to 641.61, 886.01 and 408.87 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.61 : 886.01 = 408.87 : x
  2. Step 2: Convert to fraction form
    641.61/886.01 = 408.87/x
  3. Step 3: Cross multiply
    641.61x = 886.01 × 408.87
  4. Step 4: Simplify right side
    641.61x = 362,260.86
  5. Step 5: Solve for x
    x = 362,260.86/641.61
  6. Step 6: Final answer
    x = 564.61

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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.