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Finding the Fourth Proportional to 284.20, 391.30 and 269.80

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Solution

The fourth proportional to 284.20, 391.30 and 269.80 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 391.30 = 269.80 : x
  2. Step 2: Convert to fraction form
    284.20/391.30 = 269.80/x
  3. Step 3: Cross multiply
    284.20x = 391.30 × 269.80
  4. Step 4: Simplify right side
    284.20x = 105,572.74
  5. Step 5: Solve for x
    x = 105,572.74/284.20
  6. Step 6: Final answer
    x = 371.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.