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Finding the Fourth Proportional to 390.60, 539.01 and 224.82

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Solution

The fourth proportional to 390.60, 539.01 and 224.82 is: 310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 539.01 = 224.82 : x
  2. Step 2: Convert to fraction form
    390.60/539.01 = 224.82/x
  3. Step 3: Cross multiply
    390.60x = 539.01 × 224.82
  4. Step 4: Simplify right side
    390.60x = 121,180.23
  5. Step 5: Solve for x
    x = 121,180.23/390.60
  6. Step 6: Final answer
    x = 310.24

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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.