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Finding the Fourth Proportional to 660.82, 911.99 and 381.15

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Solution

The fourth proportional to 660.82, 911.99 and 381.15 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.82 : 911.99 = 381.15 : x
  2. Step 2: Convert to fraction form
    660.82/911.99 = 381.15/x
  3. Step 3: Cross multiply
    660.82x = 911.99 × 381.15
  4. Step 4: Simplify right side
    660.82x = 347,604.99
  5. Step 5: Solve for x
    x = 347,604.99/660.82
  6. Step 6: Final answer
    x = 526.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.