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Finding the Fourth Proportional to 660.56, 989.40 and 416.48

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Solution

The fourth proportional to 660.56, 989.40 and 416.48 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.56 : 989.40 = 416.48 : x
  2. Step 2: Convert to fraction form
    660.56/989.40 = 416.48/x
  3. Step 3: Cross multiply
    660.56x = 989.40 × 416.48
  4. Step 4: Simplify right side
    660.56x = 412,065.31
  5. Step 5: Solve for x
    x = 412,065.31/660.56
  6. Step 6: Final answer
    x = 623.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.