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Finding the Fourth Proportional to 401.67, 554.25 and 224.64

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Solution

The fourth proportional to 401.67, 554.25 and 224.64 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 554.25 = 224.64 : x
  2. Step 2: Convert to fraction form
    401.67/554.25 = 224.64/x
  3. Step 3: Cross multiply
    401.67x = 554.25 × 224.64
  4. Step 4: Simplify right side
    401.67x = 124,504.12
  5. Step 5: Solve for x
    x = 124,504.12/401.67
  6. Step 6: Final answer
    x = 309.97

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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.