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Finding the Fourth Proportional to 553.28, 829.52 and 187.97

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Solution

The fourth proportional to 553.28, 829.52 and 187.97 is: 281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 829.52 = 187.97 : x
  2. Step 2: Convert to fraction form
    553.28/829.52 = 187.97/x
  3. Step 3: Cross multiply
    553.28x = 829.52 × 187.97
  4. Step 4: Simplify right side
    553.28x = 155,923.93
  5. Step 5: Solve for x
    x = 155,923.93/553.28
  6. Step 6: Final answer
    x = 281.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.