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Finding the Fourth Proportional to 666.82, 1,000.39 and 301.61

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Solution

The fourth proportional to 666.82, 1,000.39 and 301.61 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 1,000.39 = 301.61 : x
  2. Step 2: Convert to fraction form
    666.82/1,000.39 = 301.61/x
  3. Step 3: Cross multiply
    666.82x = 1,000.39 × 301.61
  4. Step 4: Simplify right side
    666.82x = 301,728.38
  5. Step 5: Solve for x
    x = 301,728.38/666.82
  6. Step 6: Final answer
    x = 452.49

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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.