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Finding the Fourth Proportional to 395.61, 545.93 and 220.95

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Solution

The fourth proportional to 395.61, 545.93 and 220.95 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.61 : 545.93 = 220.95 : x
  2. Step 2: Convert to fraction form
    395.61/545.93 = 220.95/x
  3. Step 3: Cross multiply
    395.61x = 545.93 × 220.95
  4. Step 4: Simplify right side
    395.61x = 120,623.23
  5. Step 5: Solve for x
    x = 120,623.23/395.61
  6. Step 6: Final answer
    x = 304.91

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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.