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Finding the Fourth Proportional to 642.28, 886.36 and 380.42

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Solution

The fourth proportional to 642.28, 886.36 and 380.42 is: 524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.28 : 886.36 = 380.42 : x
  2. Step 2: Convert to fraction form
    642.28/886.36 = 380.42/x
  3. Step 3: Cross multiply
    642.28x = 886.36 × 380.42
  4. Step 4: Simplify right side
    642.28x = 337,189.07
  5. Step 5: Solve for x
    x = 337,189.07/642.28
  6. Step 6: Final answer
    x = 524.99

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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.