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Finding the Fourth Proportional to 698.91, 964.85 and 404.12

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Solution

The fourth proportional to 698.91, 964.85 and 404.12 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.91 : 964.85 = 404.12 : x
  2. Step 2: Convert to fraction form
    698.91/964.85 = 404.12/x
  3. Step 3: Cross multiply
    698.91x = 964.85 × 404.12
  4. Step 4: Simplify right side
    698.91x = 389,908.34
  5. Step 5: Solve for x
    x = 389,908.34/698.91
  6. Step 6: Final answer
    x = 557.88

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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.