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Finding the Fourth Proportional to 399.40, 551.18 and 224.76

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Solution

The fourth proportional to 399.40, 551.18 and 224.76 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.40 : 551.18 = 224.76 : x
  2. Step 2: Convert to fraction form
    399.40/551.18 = 224.76/x
  3. Step 3: Cross multiply
    399.40x = 551.18 × 224.76
  4. Step 4: Simplify right side
    399.40x = 123,883.22
  5. Step 5: Solve for x
    x = 123,883.22/399.40
  6. Step 6: Final answer
    x = 310.17

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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.