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Finding the Fourth Proportional to 701.33, 1,052.24 and 262.71

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Solution

The fourth proportional to 701.33, 1,052.24 and 262.71 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.33 : 1,052.24 = 262.71 : x
  2. Step 2: Convert to fraction form
    701.33/1,052.24 = 262.71/x
  3. Step 3: Cross multiply
    701.33x = 1,052.24 × 262.71
  4. Step 4: Simplify right side
    701.33x = 276,432.66
  5. Step 5: Solve for x
    x = 276,432.66/701.33
  6. Step 6: Final answer
    x = 394.16

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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.