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Finding the Fourth Proportional to 950.34, 1,425.51 and 301.13

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Solution

The fourth proportional to 950.34, 1,425.51 and 301.13 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.34 : 1,425.51 = 301.13 : x
  2. Step 2: Convert to fraction form
    950.34/1,425.51 = 301.13/x
  3. Step 3: Cross multiply
    950.34x = 1,425.51 × 301.13
  4. Step 4: Simplify right side
    950.34x = 429,256.70
  5. Step 5: Solve for x
    x = 429,256.70/950.34
  6. Step 6: Final answer
    x = 451.69

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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.