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Finding the Fourth Proportional to 397.72, 549.06 and 250.44

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Solution

The fourth proportional to 397.72, 549.06 and 250.44 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.72 : 549.06 = 250.44 : x
  2. Step 2: Convert to fraction form
    397.72/549.06 = 250.44/x
  3. Step 3: Cross multiply
    397.72x = 549.06 × 250.44
  4. Step 4: Simplify right side
    397.72x = 137,506.59
  5. Step 5: Solve for x
    x = 137,506.59/397.72
  6. Step 6: Final answer
    x = 345.74

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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.