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Finding the Fourth Proportional to 642.20, 886.26 and 376.68

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Solution

The fourth proportional to 642.20, 886.26 and 376.68 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 886.26 = 376.68 : x
  2. Step 2: Convert to fraction form
    642.20/886.26 = 376.68/x
  3. Step 3: Cross multiply
    642.20x = 886.26 × 376.68
  4. Step 4: Simplify right side
    642.20x = 333,836.42
  5. Step 5: Solve for x
    x = 333,836.42/642.20
  6. Step 6: Final answer
    x = 519.83

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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.