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Finding the Fourth Proportional to 401.45, 554.00 and 224.42

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Solution

The fourth proportional to 401.45, 554.00 and 224.42 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.45 : 554.00 = 224.42 : x
  2. Step 2: Convert to fraction form
    401.45/554.00 = 224.42/x
  3. Step 3: Cross multiply
    401.45x = 554.00 × 224.42
  4. Step 4: Simplify right side
    401.45x = 124,326.73
  5. Step 5: Solve for x
    x = 124,326.73/401.45
  6. Step 6: Final answer
    x = 309.69

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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.