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Finding the Fourth Proportional to 698.62, 964.18 and 404

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Solution

The fourth proportional to 698.62, 964.18 and 404 is: 557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.62 : 964.18 = 404 : x
  2. Step 2: Convert to fraction form
    698.62/964.18 = 404/x
  3. Step 3: Cross multiply
    698.62x = 964.18 × 404
  4. Step 4: Simplify right side
    698.62x = 389,528.72
  5. Step 5: Solve for x
    x = 389,528.72/698.62
  6. Step 6: Final answer
    x = 557.57

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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.