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Finding the Fourth Proportional to 642.69, 886.96 and 362.83

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Solution

The fourth proportional to 642.69, 886.96 and 362.83 is: 500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 886.96 = 362.83 : x
  2. Step 2: Convert to fraction form
    642.69/886.96 = 362.83/x
  3. Step 3: Cross multiply
    642.69x = 886.96 × 362.83
  4. Step 4: Simplify right side
    642.69x = 321,812.57
  5. Step 5: Solve for x
    x = 321,812.57/642.69
  6. Step 6: Final answer
    x = 500.73

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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.