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Finding the Fourth Proportional to 695.80, 1,043.34 and 330.76

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Solution

The fourth proportional to 695.80, 1,043.34 and 330.76 is: 495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.80 : 1,043.34 = 330.76 : x
  2. Step 2: Convert to fraction form
    695.80/1,043.34 = 330.76/x
  3. Step 3: Cross multiply
    695.80x = 1,043.34 × 330.76
  4. Step 4: Simplify right side
    695.80x = 345,095.14
  5. Step 5: Solve for x
    x = 345,095.14/695.80
  6. Step 6: Final answer
    x = 495.97

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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.