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Finding the Fourth Proportional to 284.30, 391.79 and 209.57

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Solution

The fourth proportional to 284.30, 391.79 and 209.57 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 391.79 = 209.57 : x
  2. Step 2: Convert to fraction form
    284.30/391.79 = 209.57/x
  3. Step 3: Cross multiply
    284.30x = 391.79 × 209.57
  4. Step 4: Simplify right side
    284.30x = 82,104.42
  5. Step 5: Solve for x
    x = 82,104.42/284.30
  6. Step 6: Final answer
    x = 288.80

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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.