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Finding the Fourth Proportional to 397.79, 548.95 and 229.74

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Solution

The fourth proportional to 397.79, 548.95 and 229.74 is: 317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.79 : 548.95 = 229.74 : x
  2. Step 2: Convert to fraction form
    397.79/548.95 = 229.74/x
  3. Step 3: Cross multiply
    397.79x = 548.95 × 229.74
  4. Step 4: Simplify right side
    397.79x = 126,113.03
  5. Step 5: Solve for x
    x = 126,113.03/397.79
  6. Step 6: Final answer
    x = 317.04

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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.