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Finding the Fourth Proportional to 397.88, 549.10 and 223.28

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Solution

The fourth proportional to 397.88, 549.10 and 223.28 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 549.10 = 223.28 : x
  2. Step 2: Convert to fraction form
    397.88/549.10 = 223.28/x
  3. Step 3: Cross multiply
    397.88x = 549.10 × 223.28
  4. Step 4: Simplify right side
    397.88x = 122,603.05
  5. Step 5: Solve for x
    x = 122,603.05/397.88
  6. Step 6: Final answer
    x = 308.14

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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.