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Finding the Fourth Proportional to 642.82, 886.22 and 502.38

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Solution

The fourth proportional to 642.82, 886.22 and 502.38 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 886.22 = 502.38 : x
  2. Step 2: Convert to fraction form
    642.82/886.22 = 502.38/x
  3. Step 3: Cross multiply
    642.82x = 886.22 × 502.38
  4. Step 4: Simplify right side
    642.82x = 445,219.20
  5. Step 5: Solve for x
    x = 445,219.20/642.82
  6. Step 6: Final answer
    x = 692.61

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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.