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Finding the Fourth Proportional to 642.27, 886.38 and 362.55

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Solution

The fourth proportional to 642.27, 886.38 and 362.55 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.27 : 886.38 = 362.55 : x
  2. Step 2: Convert to fraction form
    642.27/886.38 = 362.55/x
  3. Step 3: Cross multiply
    642.27x = 886.38 × 362.55
  4. Step 4: Simplify right side
    642.27x = 321,357.07
  5. Step 5: Solve for x
    x = 321,357.07/642.27
  6. Step 6: Final answer
    x = 500.35

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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.