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Finding the Fourth Proportional to 667.05, 999.90 and 319.88

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Solution

The fourth proportional to 667.05, 999.90 and 319.88 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.05 : 999.90 = 319.88 : x
  2. Step 2: Convert to fraction form
    667.05/999.90 = 319.88/x
  3. Step 3: Cross multiply
    667.05x = 999.90 × 319.88
  4. Step 4: Simplify right side
    667.05x = 319,843.01
  5. Step 5: Solve for x
    x = 319,843.01/667.05
  6. Step 6: Final answer
    x = 479.49

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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.