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Finding the Fourth Proportional to 642.14, 886.16 and 362.47

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Solution

The fourth proportional to 642.14, 886.16 and 362.47 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 886.16 = 362.47 : x
  2. Step 2: Convert to fraction form
    642.14/886.16 = 362.47/x
  3. Step 3: Cross multiply
    642.14x = 886.16 × 362.47
  4. Step 4: Simplify right side
    642.14x = 321,205.97
  5. Step 5: Solve for x
    x = 321,205.97/642.14
  6. Step 6: Final answer
    x = 500.21

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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.