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Finding the Fourth Proportional to 698.82, 964.38 and 404.16

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Solution

The fourth proportional to 698.82, 964.38 and 404.16 is: 557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 964.38 = 404.16 : x
  2. Step 2: Convert to fraction form
    698.82/964.38 = 404.16/x
  3. Step 3: Cross multiply
    698.82x = 964.38 × 404.16
  4. Step 4: Simplify right side
    698.82x = 389,763.82
  5. Step 5: Solve for x
    x = 389,763.82/698.82
  6. Step 6: Final answer
    x = 557.75

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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.