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Finding the Fourth Proportional to 660.27, 989.85 and 275.25

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Solution

The fourth proportional to 660.27, 989.85 and 275.25 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.27 : 989.85 = 275.25 : x
  2. Step 2: Convert to fraction form
    660.27/989.85 = 275.25/x
  3. Step 3: Cross multiply
    660.27x = 989.85 × 275.25
  4. Step 4: Simplify right side
    660.27x = 272,456.21
  5. Step 5: Solve for x
    x = 272,456.21/660.27
  6. Step 6: Final answer
    x = 412.64

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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.