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Finding the Fourth Proportional to 698.08, 963.44 and 422.08

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Solution

The fourth proportional to 698.08, 963.44 and 422.08 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.08 : 963.44 = 422.08 : x
  2. Step 2: Convert to fraction form
    698.08/963.44 = 422.08/x
  3. Step 3: Cross multiply
    698.08x = 963.44 × 422.08
  4. Step 4: Simplify right side
    698.08x = 406,648.76
  5. Step 5: Solve for x
    x = 406,648.76/698.08
  6. Step 6: Final answer
    x = 582.52

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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.