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Finding the Fourth Proportional to 950.88, 1,425.40 and 301.46

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Solution

The fourth proportional to 950.88, 1,425.40 and 301.46 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.88 : 1,425.40 = 301.46 : x
  2. Step 2: Convert to fraction form
    950.88/1,425.40 = 301.46/x
  3. Step 3: Cross multiply
    950.88x = 1,425.40 × 301.46
  4. Step 4: Simplify right side
    950.88x = 429,701.08
  5. Step 5: Solve for x
    x = 429,701.08/950.88
  6. Step 6: Final answer
    x = 451.90

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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.