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Finding the Fourth Proportional to 698.55, 963.92 and 403.91

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Solution

The fourth proportional to 698.55, 963.92 and 403.91 is: 557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.55 : 963.92 = 403.91 : x
  2. Step 2: Convert to fraction form
    698.55/963.92 = 403.91/x
  3. Step 3: Cross multiply
    698.55x = 963.92 × 403.91
  4. Step 4: Simplify right side
    698.55x = 389,336.93
  5. Step 5: Solve for x
    x = 389,336.93/698.55
  6. Step 6: Final answer
    x = 557.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.