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Finding the Fourth Proportional to 642.27, 886.32 and 362.49

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Solution

The fourth proportional to 642.27, 886.32 and 362.49 is: 500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.27 : 886.32 = 362.49 : x
  2. Step 2: Convert to fraction form
    642.27/886.32 = 362.49/x
  3. Step 3: Cross multiply
    642.27x = 886.32 × 362.49
  4. Step 4: Simplify right side
    642.27x = 321,282.14
  5. Step 5: Solve for x
    x = 321,282.14/642.27
  6. Step 6: Final answer
    x = 500.23

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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.