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Finding the Fourth Proportional to 660.87, 911.98 and 381.11

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Solution

The fourth proportional to 660.87, 911.98 and 381.11 is: 525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.87 : 911.98 = 381.11 : x
  2. Step 2: Convert to fraction form
    660.87/911.98 = 381.11/x
  3. Step 3: Cross multiply
    660.87x = 911.98 × 381.11
  4. Step 4: Simplify right side
    660.87x = 347,564.70
  5. Step 5: Solve for x
    x = 347,564.70/660.87
  6. Step 6: Final answer
    x = 525.92

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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.