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Finding the Fourth Proportional to 834.24, 1,251.44 and 314.16

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Solution

The fourth proportional to 834.24, 1,251.44 and 314.16 is: 471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,251.44 = 314.16 : x
  2. Step 2: Convert to fraction form
    834.24/1,251.44 = 314.16/x
  3. Step 3: Cross multiply
    834.24x = 1,251.44 × 314.16
  4. Step 4: Simplify right side
    834.24x = 393,152.39
  5. Step 5: Solve for x
    x = 393,152.39/834.24
  6. Step 6: Final answer
    x = 471.27

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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.