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Finding the Fourth Proportional to 395.15, 545.27 and 229.31

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Solution

The fourth proportional to 395.15, 545.27 and 229.31 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.15 : 545.27 = 229.31 : x
  2. Step 2: Convert to fraction form
    395.15/545.27 = 229.31/x
  3. Step 3: Cross multiply
    395.15x = 545.27 × 229.31
  4. Step 4: Simplify right side
    395.15x = 125,035.86
  5. Step 5: Solve for x
    x = 125,035.86/395.15
  6. Step 6: Final answer
    x = 316.43

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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.