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Finding the Fourth Proportional to 667.40, 1,001.11 and 301.76

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Solution

The fourth proportional to 667.40, 1,001.11 and 301.76 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 1,001.11 = 301.76 : x
  2. Step 2: Convert to fraction form
    667.40/1,001.11 = 301.76/x
  3. Step 3: Cross multiply
    667.40x = 1,001.11 × 301.76
  4. Step 4: Simplify right side
    667.40x = 302,093.44
  5. Step 5: Solve for x
    x = 302,093.44/667.40
  6. Step 6: Final answer
    x = 452.64

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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.