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Finding the Fourth Proportional to 362.54, 500.28 and 264.71

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Solution

The fourth proportional to 362.54, 500.28 and 264.71 is: 365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.54 : 500.28 = 264.71 : x
  2. Step 2: Convert to fraction form
    362.54/500.28 = 264.71/x
  3. Step 3: Cross multiply
    362.54x = 500.28 × 264.71
  4. Step 4: Simplify right side
    362.54x = 132,426.62
  5. Step 5: Solve for x
    x = 132,426.62/362.54
  6. Step 6: Final answer
    x = 365.28

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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.