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Finding the Fourth Proportional to 698.42, 963.78 and 403.66

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Solution

The fourth proportional to 698.42, 963.78 and 403.66 is: 557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 963.78 = 403.66 : x
  2. Step 2: Convert to fraction form
    698.42/963.78 = 403.66/x
  3. Step 3: Cross multiply
    698.42x = 963.78 × 403.66
  4. Step 4: Simplify right side
    698.42x = 389,039.43
  5. Step 5: Solve for x
    x = 389,039.43/698.42
  6. Step 6: Final answer
    x = 557.03

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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.