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Finding the Fourth Proportional to 642.83, 887.42 and 456.71

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Solution

The fourth proportional to 642.83, 887.42 and 456.71 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 887.42 = 456.71 : x
  2. Step 2: Convert to fraction form
    642.83/887.42 = 456.71/x
  3. Step 3: Cross multiply
    642.83x = 887.42 × 456.71
  4. Step 4: Simplify right side
    642.83x = 405,291.30
  5. Step 5: Solve for x
    x = 405,291.30/642.83
  6. Step 6: Final answer
    x = 630.48

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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.