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Finding the Fourth Proportional to 642.46, 886.12 and 406.44

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Solution

The fourth proportional to 642.46, 886.12 and 406.44 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.46 : 886.12 = 406.44 : x
  2. Step 2: Convert to fraction form
    642.46/886.12 = 406.44/x
  3. Step 3: Cross multiply
    642.46x = 886.12 × 406.44
  4. Step 4: Simplify right side
    642.46x = 360,156.66
  5. Step 5: Solve for x
    x = 360,156.66/642.46
  6. Step 6: Final answer
    x = 560.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.