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Finding the Fourth Proportional to 660.78, 911.90 and 381.11

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Solution

The fourth proportional to 660.78, 911.90 and 381.11 is: 525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 911.90 = 381.11 : x
  2. Step 2: Convert to fraction form
    660.78/911.90 = 381.11/x
  3. Step 3: Cross multiply
    660.78x = 911.90 × 381.11
  4. Step 4: Simplify right side
    660.78x = 347,534.21
  5. Step 5: Solve for x
    x = 347,534.21/660.78
  6. Step 6: Final answer
    x = 525.95

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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.