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Finding the Fourth Proportional to 950.80, 1,426.22 and 402.88

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Solution

The fourth proportional to 950.80, 1,426.22 and 402.88 is: 604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.80 : 1,426.22 = 402.88 : x
  2. Step 2: Convert to fraction form
    950.80/1,426.22 = 402.88/x
  3. Step 3: Cross multiply
    950.80x = 1,426.22 × 402.88
  4. Step 4: Simplify right side
    950.80x = 574,595.51
  5. Step 5: Solve for x
    x = 574,595.51/950.80
  6. Step 6: Final answer
    x = 604.33

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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.