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Finding the Fourth Proportional to 667.83, 1,003.52 and 359.91

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Solution

The fourth proportional to 667.83, 1,003.52 and 359.91 is: 540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.83 : 1,003.52 = 359.91 : x
  2. Step 2: Convert to fraction form
    667.83/1,003.52 = 359.91/x
  3. Step 3: Cross multiply
    667.83x = 1,003.52 × 359.91
  4. Step 4: Simplify right side
    667.83x = 361,176.88
  5. Step 5: Solve for x
    x = 361,176.88/667.83
  6. Step 6: Final answer
    x = 540.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.