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Finding the Fourth Proportional to 642.17, 886.10 and 362.40

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Solution

The fourth proportional to 642.17, 886.10 and 362.40 is: 500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 886.10 = 362.40 : x
  2. Step 2: Convert to fraction form
    642.17/886.10 = 362.40/x
  3. Step 3: Cross multiply
    642.17x = 886.10 × 362.40
  4. Step 4: Simplify right side
    642.17x = 321,120.83
  5. Step 5: Solve for x
    x = 321,120.83/642.17
  6. Step 6: Final answer
    x = 500.06

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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.