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Finding the Fourth Proportional to 950.10, 1,425.07 and 256.74

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Solution

The fourth proportional to 950.10, 1,425.07 and 256.74 is: 385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.10 : 1,425.07 = 256.74 : x
  2. Step 2: Convert to fraction form
    950.10/1,425.07 = 256.74/x
  3. Step 3: Cross multiply
    950.10x = 1,425.07 × 256.74
  4. Step 4: Simplify right side
    950.10x = 365,872.47
  5. Step 5: Solve for x
    x = 365,872.47/950.10
  6. Step 6: Final answer
    x = 385.09

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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.