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Finding the Fourth Proportional to 395.48, 545.76 and 220.82

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Solution

The fourth proportional to 395.48, 545.76 and 220.82 is: 304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.48 : 545.76 = 220.82 : x
  2. Step 2: Convert to fraction form
    395.48/545.76 = 220.82/x
  3. Step 3: Cross multiply
    395.48x = 545.76 × 220.82
  4. Step 4: Simplify right side
    395.48x = 120,514.72
  5. Step 5: Solve for x
    x = 120,514.72/395.48
  6. Step 6: Final answer
    x = 304.73

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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.