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Finding the Fourth Proportional to 642.13, 886.07 and 358.49

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Solution

The fourth proportional to 642.13, 886.07 and 358.49 is: 494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.13 : 886.07 = 358.49 : x
  2. Step 2: Convert to fraction form
    642.13/886.07 = 358.49/x
  3. Step 3: Cross multiply
    642.13x = 886.07 × 358.49
  4. Step 4: Simplify right side
    642.13x = 317,650.35
  5. Step 5: Solve for x
    x = 317,650.35/642.13
  6. Step 6: Final answer
    x = 494.68

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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.