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Finding the Fourth Proportional to 950.47, 1,425.71 and 301.21

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Solution

The fourth proportional to 950.47, 1,425.71 and 301.21 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,425.71 = 301.21 : x
  2. Step 2: Convert to fraction form
    950.47/1,425.71 = 301.21/x
  3. Step 3: Cross multiply
    950.47x = 1,425.71 × 301.21
  4. Step 4: Simplify right side
    950.47x = 429,435.30
  5. Step 5: Solve for x
    x = 429,435.30/950.47
  6. Step 6: Final answer
    x = 451.81

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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.