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Finding the Fourth Proportional to 660.98, 991.42 and 275.96

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Solution

The fourth proportional to 660.98, 991.42 and 275.96 is: 413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.98 : 991.42 = 275.96 : x
  2. Step 2: Convert to fraction form
    660.98/991.42 = 275.96/x
  3. Step 3: Cross multiply
    660.98x = 991.42 × 275.96
  4. Step 4: Simplify right side
    660.98x = 273,592.26
  5. Step 5: Solve for x
    x = 273,592.26/660.98
  6. Step 6: Final answer
    x = 413.92

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Why These Related Problems?

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