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Finding the Fourth Proportional to 698.62, 964.05 and 418.71

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Solution

The fourth proportional to 698.62, 964.05 and 418.71 is: 577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.62 : 964.05 = 418.71 : x
  2. Step 2: Convert to fraction form
    698.62/964.05 = 418.71/x
  3. Step 3: Cross multiply
    698.62x = 964.05 × 418.71
  4. Step 4: Simplify right side
    698.62x = 403,659.42
  5. Step 5: Solve for x
    x = 403,659.42/698.62
  6. Step 6: Final answer
    x = 577.80

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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.