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Finding the Fourth Proportional to 397.89, 549.07 and 223.27

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Solution

The fourth proportional to 397.89, 549.07 and 223.27 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 549.07 = 223.27 : x
  2. Step 2: Convert to fraction form
    397.89/549.07 = 223.27/x
  3. Step 3: Cross multiply
    397.89x = 549.07 × 223.27
  4. Step 4: Simplify right side
    397.89x = 122,588.93
  5. Step 5: Solve for x
    x = 122,588.93/397.89
  6. Step 6: Final answer
    x = 308.10

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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.