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Finding the Fourth Proportional to 694.44, 1,041.76 and 232.33

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Solution

The fourth proportional to 694.44, 1,041.76 and 232.33 is: 348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.44 : 1,041.76 = 232.33 : x
  2. Step 2: Convert to fraction form
    694.44/1,041.76 = 232.33/x
  3. Step 3: Cross multiply
    694.44x = 1,041.76 × 232.33
  4. Step 4: Simplify right side
    694.44x = 242,032.10
  5. Step 5: Solve for x
    x = 242,032.10/694.44
  6. Step 6: Final answer
    x = 348.53

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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.