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Finding the Fourth Proportional to 642.61, 886.89 and 362.95

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Solution

The fourth proportional to 642.61, 886.89 and 362.95 is: 500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.61 : 886.89 = 362.95 : x
  2. Step 2: Convert to fraction form
    642.61/886.89 = 362.95/x
  3. Step 3: Cross multiply
    642.61x = 886.89 × 362.95
  4. Step 4: Simplify right side
    642.61x = 321,896.73
  5. Step 5: Solve for x
    x = 321,896.73/642.61
  6. Step 6: Final answer
    x = 500.92

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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.