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Finding the Fourth Proportional to 660.38, 990.81 and 295.07

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Solution

The fourth proportional to 660.38, 990.81 and 295.07 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 990.81 = 295.07 : x
  2. Step 2: Convert to fraction form
    660.38/990.81 = 295.07/x
  3. Step 3: Cross multiply
    660.38x = 990.81 × 295.07
  4. Step 4: Simplify right side
    660.38x = 292,355.31
  5. Step 5: Solve for x
    x = 292,355.31/660.38
  6. Step 6: Final answer
    x = 442.71

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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.