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Finding the Fourth Proportional to 642.47, 886.57 and 362.71

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Solution

The fourth proportional to 642.47, 886.57 and 362.71 is: 500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 886.57 = 362.71 : x
  2. Step 2: Convert to fraction form
    642.47/886.57 = 362.71/x
  3. Step 3: Cross multiply
    642.47x = 886.57 × 362.71
  4. Step 4: Simplify right side
    642.47x = 321,567.80
  5. Step 5: Solve for x
    x = 321,567.80/642.47
  6. Step 6: Final answer
    x = 500.52

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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.