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Finding the Fourth Proportional to 842.84, 1,264.25 and 265.71

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Solution

The fourth proportional to 842.84, 1,264.25 and 265.71 is: 398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,264.25 = 265.71 : x
  2. Step 2: Convert to fraction form
    842.84/1,264.25 = 265.71/x
  3. Step 3: Cross multiply
    842.84x = 1,264.25 × 265.71
  4. Step 4: Simplify right side
    842.84x = 335,923.87
  5. Step 5: Solve for x
    x = 335,923.87/842.84
  6. Step 6: Final answer
    x = 398.56

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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.