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Finding the Fourth Proportional to 660.78, 990.81 and 295.92

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Solution

The fourth proportional to 660.78, 990.81 and 295.92 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 990.81 = 295.92 : x
  2. Step 2: Convert to fraction form
    660.78/990.81 = 295.92/x
  3. Step 3: Cross multiply
    660.78x = 990.81 × 295.92
  4. Step 4: Simplify right side
    660.78x = 293,200.50
  5. Step 5: Solve for x
    x = 293,200.50/660.78
  6. Step 6: Final answer
    x = 443.72

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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.