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Finding the Fourth Proportional to 642.75, 887.00 and 362.96

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Solution

The fourth proportional to 642.75, 887.00 and 362.96 is: 500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.75 : 887.00 = 362.96 : x
  2. Step 2: Convert to fraction form
    642.75/887.00 = 362.96/x
  3. Step 3: Cross multiply
    642.75x = 887.00 × 362.96
  4. Step 4: Simplify right side
    642.75x = 321,939.27
  5. Step 5: Solve for x
    x = 321,939.27/642.75
  6. Step 6: Final answer
    x = 500.88

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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.