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Finding the Fourth Proportional to 698.59, 964.11 and 403.84

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Solution

The fourth proportional to 698.59, 964.11 and 403.84 is: 557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.59 : 964.11 = 403.84 : x
  2. Step 2: Convert to fraction form
    698.59/964.11 = 403.84/x
  3. Step 3: Cross multiply
    698.59x = 964.11 × 403.84
  4. Step 4: Simplify right side
    698.59x = 389,346.18
  5. Step 5: Solve for x
    x = 389,346.18/698.59
  6. Step 6: Final answer
    x = 557.33

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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.