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Finding the Fourth Proportional to 950.25, 1,425.53 and 402.44

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Solution

The fourth proportional to 950.25, 1,425.53 and 402.44 is: 603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,425.53 = 402.44 : x
  2. Step 2: Convert to fraction form
    950.25/1,425.53 = 402.44/x
  3. Step 3: Cross multiply
    950.25x = 1,425.53 × 402.44
  4. Step 4: Simplify right side
    950.25x = 573,690.29
  5. Step 5: Solve for x
    x = 573,690.29/950.25
  6. Step 6: Final answer
    x = 603.73

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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.