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Finding the Fourth Proportional to 842.28, 1,262.61 and 264.75

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Solution

The fourth proportional to 842.28, 1,262.61 and 264.75 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,262.61 = 264.75 : x
  2. Step 2: Convert to fraction form
    842.28/1,262.61 = 264.75/x
  3. Step 3: Cross multiply
    842.28x = 1,262.61 × 264.75
  4. Step 4: Simplify right side
    842.28x = 334,276.00
  5. Step 5: Solve for x
    x = 334,276.00/842.28
  6. Step 6: Final answer
    x = 396.87

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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.