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Finding the Fourth Proportional to 392.05, 540.21 and 360.61

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Solution

The fourth proportional to 392.05, 540.21 and 360.61 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 540.21 = 360.61 : x
  2. Step 2: Convert to fraction form
    392.05/540.21 = 360.61/x
  3. Step 3: Cross multiply
    392.05x = 540.21 × 360.61
  4. Step 4: Simplify right side
    392.05x = 194,805.13
  5. Step 5: Solve for x
    x = 194,805.13/392.05
  6. Step 6: Final answer
    x = 496.89

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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.