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Finding the Fourth Proportional to 362.70, 500.56 and 269.56

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Solution

The fourth proportional to 362.70, 500.56 and 269.56 is: 372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 500.56 = 269.56 : x
  2. Step 2: Convert to fraction form
    362.70/500.56 = 269.56/x
  3. Step 3: Cross multiply
    362.70x = 500.56 × 269.56
  4. Step 4: Simplify right side
    362.70x = 134,930.95
  5. Step 5: Solve for x
    x = 134,930.95/362.70
  6. Step 6: Final answer
    x = 372.02

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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.