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Finding the Fourth Proportional to 395.10, 545.25 and 220.47

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Solution

The fourth proportional to 395.10, 545.25 and 220.47 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 545.25 = 220.47 : x
  2. Step 2: Convert to fraction form
    395.10/545.25 = 220.47/x
  3. Step 3: Cross multiply
    395.10x = 545.25 × 220.47
  4. Step 4: Simplify right side
    395.10x = 120,211.27
  5. Step 5: Solve for x
    x = 120,211.27/395.10
  6. Step 6: Final answer
    x = 304.26

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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.