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Finding the Fourth Proportional to 697.12, 961.69 and 402.22

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Solution

The fourth proportional to 697.12, 961.69 and 402.22 is: 554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 961.69 = 402.22 : x
  2. Step 2: Convert to fraction form
    697.12/961.69 = 402.22/x
  3. Step 3: Cross multiply
    697.12x = 961.69 × 402.22
  4. Step 4: Simplify right side
    697.12x = 386,810.95
  5. Step 5: Solve for x
    x = 386,810.95/697.12
  6. Step 6: Final answer
    x = 554.87

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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.