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Finding the Fourth Proportional to 390.49, 538.92 and 224.71

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Solution

The fourth proportional to 390.49, 538.92 and 224.71 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.49 : 538.92 = 224.71 : x
  2. Step 2: Convert to fraction form
    390.49/538.92 = 224.71/x
  3. Step 3: Cross multiply
    390.49x = 538.92 × 224.71
  4. Step 4: Simplify right side
    390.49x = 121,099.37
  5. Step 5: Solve for x
    x = 121,099.37/390.49
  6. Step 6: Final answer
    x = 310.12

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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.