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Finding the Fourth Proportional to 390.49, 538.84 and 224.69

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Solution

The fourth proportional to 390.49, 538.84 and 224.69 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.49 : 538.84 = 224.69 : x
  2. Step 2: Convert to fraction form
    390.49/538.84 = 224.69/x
  3. Step 3: Cross multiply
    390.49x = 538.84 × 224.69
  4. Step 4: Simplify right side
    390.49x = 121,072.74
  5. Step 5: Solve for x
    x = 121,072.74/390.49
  6. Step 6: Final answer
    x = 310.06

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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.