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Finding the Fourth Proportional to 390.69, 539.13 and 224.95

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Solution

The fourth proportional to 390.69, 539.13 and 224.95 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.69 : 539.13 = 224.95 : x
  2. Step 2: Convert to fraction form
    390.69/539.13 = 224.95/x
  3. Step 3: Cross multiply
    390.69x = 539.13 × 224.95
  4. Step 4: Simplify right side
    390.69x = 121,277.29
  5. Step 5: Solve for x
    x = 121,277.29/390.69
  6. Step 6: Final answer
    x = 310.42

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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.