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Finding the Fourth Proportional to 668.29, 1,000.91 and 321.88

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Solution

The fourth proportional to 668.29, 1,000.91 and 321.88 is: 482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 1,000.91 = 321.88 : x
  2. Step 2: Convert to fraction form
    668.29/1,000.91 = 321.88/x
  3. Step 3: Cross multiply
    668.29x = 1,000.91 × 321.88
  4. Step 4: Simplify right side
    668.29x = 322,171.21
  5. Step 5: Solve for x
    x = 322,171.21/668.29
  6. Step 6: Final answer
    x = 482.08

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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.