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Finding the Fourth Proportional to 397.94, 549.14 and 223.28

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Solution

The fourth proportional to 397.94, 549.14 and 223.28 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 549.14 = 223.28 : x
  2. Step 2: Convert to fraction form
    397.94/549.14 = 223.28/x
  3. Step 3: Cross multiply
    397.94x = 549.14 × 223.28
  4. Step 4: Simplify right side
    397.94x = 122,611.98
  5. Step 5: Solve for x
    x = 122,611.98/397.94
  6. Step 6: Final answer
    x = 308.12

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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.