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Finding the Fourth Proportional to 395.18, 545.10 and 284.80

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Solution

The fourth proportional to 395.18, 545.10 and 284.80 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 545.10 = 284.80 : x
  2. Step 2: Convert to fraction form
    395.18/545.10 = 284.80/x
  3. Step 3: Cross multiply
    395.18x = 545.10 × 284.80
  4. Step 4: Simplify right side
    395.18x = 155,243.12
  5. Step 5: Solve for x
    x = 155,243.12/395.18
  6. Step 6: Final answer
    x = 392.85

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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.