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Finding the Fourth Proportional to 694.28, 1,041.96 and 347.96

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Solution

The fourth proportional to 694.28, 1,041.96 and 347.96 is: 522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.28 : 1,041.96 = 347.96 : x
  2. Step 2: Convert to fraction form
    694.28/1,041.96 = 347.96/x
  3. Step 3: Cross multiply
    694.28x = 1,041.96 × 347.96
  4. Step 4: Simplify right side
    694.28x = 362,560.40
  5. Step 5: Solve for x
    x = 362,560.40/694.28
  6. Step 6: Final answer
    x = 522.21

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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.