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Finding the Fourth Proportional to 950.57, 1,425.74 and 257.30

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Solution

The fourth proportional to 950.57, 1,425.74 and 257.30 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.57 : 1,425.74 = 257.30 : x
  2. Step 2: Convert to fraction form
    950.57/1,425.74 = 257.30/x
  3. Step 3: Cross multiply
    950.57x = 1,425.74 × 257.30
  4. Step 4: Simplify right side
    950.57x = 366,842.90
  5. Step 5: Solve for x
    x = 366,842.90/950.57
  6. Step 6: Final answer
    x = 385.92

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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.