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Finding the Fourth Proportional to 950.83, 1,426.17 and 257.53

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Solution

The fourth proportional to 950.83, 1,426.17 and 257.53 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.83 : 1,426.17 = 257.53 : x
  2. Step 2: Convert to fraction form
    950.83/1,426.17 = 257.53/x
  3. Step 3: Cross multiply
    950.83x = 1,426.17 × 257.53
  4. Step 4: Simplify right side
    950.83x = 367,281.56
  5. Step 5: Solve for x
    x = 367,281.56/950.83
  6. Step 6: Final answer
    x = 386.27

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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.