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Finding the Fourth Proportional to 696.42, 1,044.60 and 330.12

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Solution

The fourth proportional to 696.42, 1,044.60 and 330.12 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,044.60 = 330.12 : x
  2. Step 2: Convert to fraction form
    696.42/1,044.60 = 330.12/x
  3. Step 3: Cross multiply
    696.42x = 1,044.60 × 330.12
  4. Step 4: Simplify right side
    696.42x = 344,843.35
  5. Step 5: Solve for x
    x = 344,843.35/696.42
  6. Step 6: Final answer
    x = 495.17

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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.