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Finding the Fourth Proportional to 695.09, 1,042.62 and 330.13

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Solution

The fourth proportional to 695.09, 1,042.62 and 330.13 is: 495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 1,042.62 = 330.13 : x
  2. Step 2: Convert to fraction form
    695.09/1,042.62 = 330.13/x
  3. Step 3: Cross multiply
    695.09x = 1,042.62 × 330.13
  4. Step 4: Simplify right side
    695.09x = 344,200.14
  5. Step 5: Solve for x
    x = 344,200.14/695.09
  6. Step 6: Final answer
    x = 495.19

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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.