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Finding the Fourth Proportional to 395.31, 545.54 and 220.64

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Solution

The fourth proportional to 395.31, 545.54 and 220.64 is: 304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 545.54 = 220.64 : x
  2. Step 2: Convert to fraction form
    395.31/545.54 = 220.64/x
  3. Step 3: Cross multiply
    395.31x = 545.54 × 220.64
  4. Step 4: Simplify right side
    395.31x = 120,364.11
  5. Step 5: Solve for x
    x = 120,364.11/395.31
  6. Step 6: Final answer
    x = 304.48

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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.