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Finding the Fourth Proportional to 950.92, 1,426.46 and 292.78

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Solution

The fourth proportional to 950.92, 1,426.46 and 292.78 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.92 : 1,426.46 = 292.78 : x
  2. Step 2: Convert to fraction form
    950.92/1,426.46 = 292.78/x
  3. Step 3: Cross multiply
    950.92x = 1,426.46 × 292.78
  4. Step 4: Simplify right side
    950.92x = 417,638.96
  5. Step 5: Solve for x
    x = 417,638.96/950.92
  6. Step 6: Final answer
    x = 439.19

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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.