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Finding the Fourth Proportional to 642, 885.96 and 467.49

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Solution

The fourth proportional to 642, 885.96 and 467.49 is: 645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 885.96 = 467.49 : x
  2. Step 2: Convert to fraction form
    642/885.96 = 467.49/x
  3. Step 3: Cross multiply
    642x = 885.96 × 467.49
  4. Step 4: Simplify right side
    642x = 414,177.44
  5. Step 5: Solve for x
    x = 414,177.44/642
  6. Step 6: Final answer
    x = 645.14

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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.