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Finding the Fourth Proportional to 398.10, 549.41 and 223.41

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Solution

The fourth proportional to 398.10, 549.41 and 223.41 is: 308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.10 : 549.41 = 223.41 : x
  2. Step 2: Convert to fraction form
    398.10/549.41 = 223.41/x
  3. Step 3: Cross multiply
    398.10x = 549.41 × 223.41
  4. Step 4: Simplify right side
    398.10x = 122,743.69
  5. Step 5: Solve for x
    x = 122,743.69/398.10
  6. Step 6: Final answer
    x = 308.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.