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Finding the Fourth Proportional to 696.79, 961.56 and 398.03

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Solution

The fourth proportional to 696.79, 961.56 and 398.03 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.79 : 961.56 = 398.03 : x
  2. Step 2: Convert to fraction form
    696.79/961.56 = 398.03/x
  3. Step 3: Cross multiply
    696.79x = 961.56 × 398.03
  4. Step 4: Simplify right side
    696.79x = 382,729.73
  5. Step 5: Solve for x
    x = 382,729.73/696.79
  6. Step 6: Final answer
    x = 549.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.