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Finding the Fourth Proportional to 698.44, 963.72 and 403.60

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Solution

The fourth proportional to 698.44, 963.72 and 403.60 is: 556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.44 : 963.72 = 403.60 : x
  2. Step 2: Convert to fraction form
    698.44/963.72 = 403.60/x
  3. Step 3: Cross multiply
    698.44x = 963.72 × 403.60
  4. Step 4: Simplify right side
    698.44x = 388,957.39
  5. Step 5: Solve for x
    x = 388,957.39/698.44
  6. Step 6: Final answer
    x = 556.89

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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.