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Finding the Fourth Proportional to 591, 885.92 and 282.77

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Solution

The fourth proportional to 591, 885.92 and 282.77 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 885.92 = 282.77 : x
  2. Step 2: Convert to fraction form
    591/885.92 = 282.77/x
  3. Step 3: Cross multiply
    591x = 885.92 × 282.77
  4. Step 4: Simplify right side
    591x = 250,505.75
  5. Step 5: Solve for x
    x = 250,505.75/591
  6. Step 6: Final answer
    x = 423.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.