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Finding the Fourth Proportional to 401.52, 554.11 and 224.48

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Solution

The fourth proportional to 401.52, 554.11 and 224.48 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 554.11 = 224.48 : x
  2. Step 2: Convert to fraction form
    401.52/554.11 = 224.48/x
  3. Step 3: Cross multiply
    401.52x = 554.11 × 224.48
  4. Step 4: Simplify right side
    401.52x = 124,387.44
  5. Step 5: Solve for x
    x = 124,387.44/401.52
  6. Step 6: Final answer
    x = 309.79

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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.