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Finding the Fourth Proportional to 950.98, 1,426.51 and 301.76

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Solution

The fourth proportional to 950.98, 1,426.51 and 301.76 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.98 : 1,426.51 = 301.76 : x
  2. Step 2: Convert to fraction form
    950.98/1,426.51 = 301.76/x
  3. Step 3: Cross multiply
    950.98x = 1,426.51 × 301.76
  4. Step 4: Simplify right side
    950.98x = 430,463.66
  5. Step 5: Solve for x
    x = 430,463.66/950.98
  6. Step 6: Final answer
    x = 452.65

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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.