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Finding the Fourth Proportional to 698.21, 963.70 and 403.66

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Solution

The fourth proportional to 698.21, 963.70 and 403.66 is: 557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 963.70 = 403.66 : x
  2. Step 2: Convert to fraction form
    698.21/963.70 = 403.66/x
  3. Step 3: Cross multiply
    698.21x = 963.70 × 403.66
  4. Step 4: Simplify right side
    698.21x = 389,003.72
  5. Step 5: Solve for x
    x = 389,003.72/698.21
  6. Step 6: Final answer
    x = 557.15

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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.