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Finding the Fourth Proportional to 698.37, 963.72 and 399.66

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Solution

The fourth proportional to 698.37, 963.72 and 399.66 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 963.72 = 399.66 : x
  2. Step 2: Convert to fraction form
    698.37/963.72 = 399.66/x
  3. Step 3: Cross multiply
    698.37x = 963.72 × 399.66
  4. Step 4: Simplify right side
    698.37x = 385,160.34
  5. Step 5: Solve for x
    x = 385,160.34/698.37
  6. Step 6: Final answer
    x = 551.51

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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.