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Finding the Fourth Proportional to 694.46, 1,042.28 and 347.69

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Solution

The fourth proportional to 694.46, 1,042.28 and 347.69 is: 521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 1,042.28 = 347.69 : x
  2. Step 2: Convert to fraction form
    694.46/1,042.28 = 347.69/x
  3. Step 3: Cross multiply
    694.46x = 1,042.28 × 347.69
  4. Step 4: Simplify right side
    694.46x = 362,383.38
  5. Step 5: Solve for x
    x = 362,383.38/694.46
  6. Step 6: Final answer
    x = 521.82

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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.