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Finding the Fourth Proportional to 697.97, 963.06 and 414.34

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Solution

The fourth proportional to 697.97, 963.06 and 414.34 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.97 : 963.06 = 414.34 : x
  2. Step 2: Convert to fraction form
    697.97/963.06 = 414.34/x
  3. Step 3: Cross multiply
    697.97x = 963.06 × 414.34
  4. Step 4: Simplify right side
    697.97x = 399,027.39
  5. Step 5: Solve for x
    x = 399,027.39/697.97
  6. Step 6: Final answer
    x = 571.70

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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.