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Finding the Fourth Proportional to 697.13, 961.97 and 402.41

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Solution

The fourth proportional to 697.13, 961.97 and 402.41 is: 555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 961.97 = 402.41 : x
  2. Step 2: Convert to fraction form
    697.13/961.97 = 402.41/x
  3. Step 3: Cross multiply
    697.13x = 961.97 × 402.41
  4. Step 4: Simplify right side
    697.13x = 387,099.53
  5. Step 5: Solve for x
    x = 387,099.53/697.13
  6. Step 6: Final answer
    x = 555.28

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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.