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Finding the Fourth Proportional to 395.55, 545.85 and 229.86

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Solution

The fourth proportional to 395.55, 545.85 and 229.86 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.55 : 545.85 = 229.86 : x
  2. Step 2: Convert to fraction form
    395.55/545.85 = 229.86/x
  3. Step 3: Cross multiply
    395.55x = 545.85 × 229.86
  4. Step 4: Simplify right side
    395.55x = 125,469.08
  5. Step 5: Solve for x
    x = 125,469.08/395.55
  6. Step 6: Final answer
    x = 317.20

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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.