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Finding the Fourth Proportional to 698.46, 963.84 and 403.77

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Solution

The fourth proportional to 698.46, 963.84 and 403.77 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 963.84 = 403.77 : x
  2. Step 2: Convert to fraction form
    698.46/963.84 = 403.77/x
  3. Step 3: Cross multiply
    698.46x = 963.84 × 403.77
  4. Step 4: Simplify right side
    698.46x = 389,169.68
  5. Step 5: Solve for x
    x = 389,169.68/698.46
  6. Step 6: Final answer
    x = 557.18

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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.