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Finding the Fourth Proportional to 395.52, 545.68 and 229.67

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Solution

The fourth proportional to 395.52, 545.68 and 229.67 is: 316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 545.68 = 229.67 : x
  2. Step 2: Convert to fraction form
    395.52/545.68 = 229.67/x
  3. Step 3: Cross multiply
    395.52x = 545.68 × 229.67
  4. Step 4: Simplify right side
    395.52x = 125,325.93
  5. Step 5: Solve for x
    x = 125,325.93/395.52
  6. Step 6: Final answer
    x = 316.87

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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.