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Finding the Fourth Proportional to 698.28, 963.66 and 418.53

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Solution

The fourth proportional to 698.28, 963.66 and 418.53 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 963.66 = 418.53 : x
  2. Step 2: Convert to fraction form
    698.28/963.66 = 418.53/x
  3. Step 3: Cross multiply
    698.28x = 963.66 × 418.53
  4. Step 4: Simplify right side
    698.28x = 403,320.62
  5. Step 5: Solve for x
    x = 403,320.62/698.28
  6. Step 6: Final answer
    x = 577.59

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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.