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Finding the Fourth Proportional to 395.54, 545.85 and 229.74

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Solution

The fourth proportional to 395.54, 545.85 and 229.74 is: 317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.54 : 545.85 = 229.74 : x
  2. Step 2: Convert to fraction form
    395.54/545.85 = 229.74/x
  3. Step 3: Cross multiply
    395.54x = 545.85 × 229.74
  4. Step 4: Simplify right side
    395.54x = 125,403.58
  5. Step 5: Solve for x
    x = 125,403.58/395.54
  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.