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Finding the Fourth Proportional to 697.92, 963.09 and 418.31

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Solution

The fourth proportional to 697.92, 963.09 and 418.31 is: 577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.09 = 418.31 : x
  2. Step 2: Convert to fraction form
    697.92/963.09 = 418.31/x
  3. Step 3: Cross multiply
    697.92x = 963.09 × 418.31
  4. Step 4: Simplify right side
    697.92x = 402,867.44
  5. Step 5: Solve for x
    x = 402,867.44/697.92
  6. Step 6: Final answer
    x = 577.24

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Why These Related Problems?

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