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Finding the Fourth Proportional to 698.32, 963.48 and 418.44

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Solution

The fourth proportional to 698.32, 963.48 and 418.44 is: 577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 963.48 = 418.44 : x
  2. Step 2: Convert to fraction form
    698.32/963.48 = 418.44/x
  3. Step 3: Cross multiply
    698.32x = 963.48 × 418.44
  4. Step 4: Simplify right side
    698.32x = 403,158.57
  5. Step 5: Solve for x
    x = 403,158.57/698.32
  6. Step 6: Final answer
    x = 577.33

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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.