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Finding the Fourth Proportional to 668.19, 1,002.43 and 321.91

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Solution

The fourth proportional to 668.19, 1,002.43 and 321.91 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.19 : 1,002.43 = 321.91 : x
  2. Step 2: Convert to fraction form
    668.19/1,002.43 = 321.91/x
  3. Step 3: Cross multiply
    668.19x = 1,002.43 × 321.91
  4. Step 4: Simplify right side
    668.19x = 322,692.24
  5. Step 5: Solve for x
    x = 322,692.24/668.19
  6. Step 6: Final answer
    x = 482.93

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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.