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Finding the Fourth Proportional to 698.85, 964.40 and 404.11

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Solution

The fourth proportional to 698.85, 964.40 and 404.11 is: 557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 964.40 = 404.11 : x
  2. Step 2: Convert to fraction form
    698.85/964.40 = 404.11/x
  3. Step 3: Cross multiply
    698.85x = 964.40 × 404.11
  4. Step 4: Simplify right side
    698.85x = 389,723.68
  5. Step 5: Solve for x
    x = 389,723.68/698.85
  6. Step 6: Final answer
    x = 557.66

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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.