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Finding the Fourth Proportional to 392.29, 591.39 and 365.87

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Solution

The fourth proportional to 392.29, 591.39 and 365.87 is: 551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 591.39 = 365.87 : x
  2. Step 2: Convert to fraction form
    392.29/591.39 = 365.87/x
  3. Step 3: Cross multiply
    392.29x = 591.39 × 365.87
  4. Step 4: Simplify right side
    392.29x = 216,371.86
  5. Step 5: Solve for x
    x = 216,371.86/392.29
  6. Step 6: Final answer
    x = 551.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.