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Finding the Fourth Proportional to 390.75, 539.31 and 224.97

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Solution

The fourth proportional to 390.75, 539.31 and 224.97 is: 310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.75 : 539.31 = 224.97 : x
  2. Step 2: Convert to fraction form
    390.75/539.31 = 224.97/x
  3. Step 3: Cross multiply
    390.75x = 539.31 × 224.97
  4. Step 4: Simplify right side
    390.75x = 121,328.57
  5. Step 5: Solve for x
    x = 121,328.57/390.75
  6. Step 6: Final answer
    x = 310.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.