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Finding the Fourth Proportional to 642.17, 886.19 and 362.42

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Solution

The fourth proportional to 642.17, 886.19 and 362.42 is: 500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 886.19 = 362.42 : x
  2. Step 2: Convert to fraction form
    642.17/886.19 = 362.42/x
  3. Step 3: Cross multiply
    642.17x = 886.19 × 362.42
  4. Step 4: Simplify right side
    642.17x = 321,172.98
  5. Step 5: Solve for x
    x = 321,172.98/642.17
  6. Step 6: Final answer
    x = 500.14

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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.