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Finding the Fourth Proportional to 392.08, 539.48 and 359.68

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Solution

The fourth proportional to 392.08, 539.48 and 359.68 is: 494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 539.48 = 359.68 : x
  2. Step 2: Convert to fraction form
    392.08/539.48 = 359.68/x
  3. Step 3: Cross multiply
    392.08x = 539.48 × 359.68
  4. Step 4: Simplify right side
    392.08x = 194,040.17
  5. Step 5: Solve for x
    x = 194,040.17/392.08
  6. Step 6: Final answer
    x = 494.90

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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.