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Finding the Fourth Proportional to 395.24, 545.47 and 229.46

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Solution

The fourth proportional to 395.24, 545.47 and 229.46 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 545.47 = 229.46 : x
  2. Step 2: Convert to fraction form
    395.24/545.47 = 229.46/x
  3. Step 3: Cross multiply
    395.24x = 545.47 × 229.46
  4. Step 4: Simplify right side
    395.24x = 125,163.55
  5. Step 5: Solve for x
    x = 125,163.55/395.24
  6. Step 6: Final answer
    x = 316.68

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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.