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Finding the Fourth Proportional to 398.29, 549.65 and 221.24

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Solution

The fourth proportional to 398.29, 549.65 and 221.24 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.29 : 549.65 = 221.24 : x
  2. Step 2: Convert to fraction form
    398.29/549.65 = 221.24/x
  3. Step 3: Cross multiply
    398.29x = 549.65 × 221.24
  4. Step 4: Simplify right side
    398.29x = 121,604.57
  5. Step 5: Solve for x
    x = 121,604.57/398.29
  6. Step 6: Final answer
    x = 305.32

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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.