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Finding the Fourth Proportional to 660.59, 990.87 and 270.80

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Solution

The fourth proportional to 660.59, 990.87 and 270.80 is: 406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.59 : 990.87 = 270.80 : x
  2. Step 2: Convert to fraction form
    660.59/990.87 = 270.80/x
  3. Step 3: Cross multiply
    660.59x = 990.87 × 270.80
  4. Step 4: Simplify right side
    660.59x = 268,322.64
  5. Step 5: Solve for x
    x = 268,322.64/660.59
  6. Step 6: Final answer
    x = 406.19

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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.