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Finding the Fourth Proportional to 390.72, 539.24 and 224.96

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Solution

The fourth proportional to 390.72, 539.24 and 224.96 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.72 : 539.24 = 224.96 : x
  2. Step 2: Convert to fraction form
    390.72/539.24 = 224.96/x
  3. Step 3: Cross multiply
    390.72x = 539.24 × 224.96
  4. Step 4: Simplify right side
    390.72x = 121,307.43
  5. Step 5: Solve for x
    x = 121,307.43/390.72
  6. Step 6: Final answer
    x = 310.47

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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.