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Finding the Fourth Proportional to 642.23, 886.15 and 406.25

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Solution

The fourth proportional to 642.23, 886.15 and 406.25 is: 560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.23 : 886.15 = 406.25 : x
  2. Step 2: Convert to fraction form
    642.23/886.15 = 406.25/x
  3. Step 3: Cross multiply
    642.23x = 886.15 × 406.25
  4. Step 4: Simplify right side
    642.23x = 360,001.16
  5. Step 5: Solve for x
    x = 360,001.16/642.23
  6. Step 6: Final answer
    x = 560.55

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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.