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Finding the Fourth Proportional to 397.06, 548.00 and 229.08

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Solution

The fourth proportional to 397.06, 548.00 and 229.08 is: 316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 548.00 = 229.08 : x
  2. Step 2: Convert to fraction form
    397.06/548.00 = 229.08/x
  3. Step 3: Cross multiply
    397.06x = 548.00 × 229.08
  4. Step 4: Simplify right side
    397.06x = 125,531.95
  5. Step 5: Solve for x
    x = 125,531.95/397.06
  6. Step 6: Final answer
    x = 316.15

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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.