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Finding the Fourth Proportional to 667.83, 1,002.17 and 257.02

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Solution

The fourth proportional to 667.83, 1,002.17 and 257.02 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.83 : 1,002.17 = 257.02 : x
  2. Step 2: Convert to fraction form
    667.83/1,002.17 = 257.02/x
  3. Step 3: Cross multiply
    667.83x = 1,002.17 × 257.02
  4. Step 4: Simplify right side
    667.83x = 257,577.73
  5. Step 5: Solve for x
    x = 257,577.73/667.83
  6. Step 6: Final answer
    x = 385.69

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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.