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Finding the Fourth Proportional to 696.89, 961.73 and 402.25

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Solution

The fourth proportional to 696.89, 961.73 and 402.25 is: 555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.89 : 961.73 = 402.25 : x
  2. Step 2: Convert to fraction form
    696.89/961.73 = 402.25/x
  3. Step 3: Cross multiply
    696.89x = 961.73 × 402.25
  4. Step 4: Simplify right side
    696.89x = 386,855.89
  5. Step 5: Solve for x
    x = 386,855.89/696.89
  6. Step 6: Final answer
    x = 555.12

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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.