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Finding the Fourth Proportional to 642.24, 886.14 and 362.52

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Solution

The fourth proportional to 642.24, 886.14 and 362.52 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 886.14 = 362.52 : x
  2. Step 2: Convert to fraction form
    642.24/886.14 = 362.52/x
  3. Step 3: Cross multiply
    642.24x = 886.14 × 362.52
  4. Step 4: Simplify right side
    642.24x = 321,243.47
  5. Step 5: Solve for x
    x = 321,243.47/642.24
  6. Step 6: Final answer
    x = 500.19

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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.