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Finding the Fourth Proportional to 667.85, 1,002.15 and 359.69

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Solution

The fourth proportional to 667.85, 1,002.15 and 359.69 is: 539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 1,002.15 = 359.69 : x
  2. Step 2: Convert to fraction form
    667.85/1,002.15 = 359.69/x
  3. Step 3: Cross multiply
    667.85x = 1,002.15 × 359.69
  4. Step 4: Simplify right side
    667.85x = 360,465.16
  5. Step 5: Solve for x
    x = 360,465.16/667.85
  6. Step 6: Final answer
    x = 539.74

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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.