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Finding the Fourth Proportional to 950.56, 1,426.01 and 301.28

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Solution

The fourth proportional to 950.56, 1,426.01 and 301.28 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.56 : 1,426.01 = 301.28 : x
  2. Step 2: Convert to fraction form
    950.56/1,426.01 = 301.28/x
  3. Step 3: Cross multiply
    950.56x = 1,426.01 × 301.28
  4. Step 4: Simplify right side
    950.56x = 429,619.66
  5. Step 5: Solve for x
    x = 429,619.66/950.56
  6. Step 6: Final answer
    x = 451.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.