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Finding the Fourth Proportional to 642.67, 885.96 and 456.59

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Solution

The fourth proportional to 642.67, 885.96 and 456.59 is: 629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.67 : 885.96 = 456.59 : x
  2. Step 2: Convert to fraction form
    642.67/885.96 = 456.59/x
  3. Step 3: Cross multiply
    642.67x = 885.96 × 456.59
  4. Step 4: Simplify right side
    642.67x = 404,522.69
  5. Step 5: Solve for x
    x = 404,522.69/642.67
  6. Step 6: Final answer
    x = 629.44

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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.