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Finding the Fourth Proportional to 859.28, 1,289.08 and 282.56

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Solution

The fourth proportional to 859.28, 1,289.08 and 282.56 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.28 : 1,289.08 = 282.56 : x
  2. Step 2: Convert to fraction form
    859.28/1,289.08 = 282.56/x
  3. Step 3: Cross multiply
    859.28x = 1,289.08 × 282.56
  4. Step 4: Simplify right side
    859.28x = 364,242.44
  5. Step 5: Solve for x
    x = 364,242.44/859.28
  6. Step 6: Final answer
    x = 423.89

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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.