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Finding the Fourth Proportional to 660.80, 911.86 and 381.02

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Solution

The fourth proportional to 660.80, 911.86 and 381.02 is: 525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.80 : 911.86 = 381.02 : x
  2. Step 2: Convert to fraction form
    660.80/911.86 = 381.02/x
  3. Step 3: Cross multiply
    660.80x = 911.86 × 381.02
  4. Step 4: Simplify right side
    660.80x = 347,431.39
  5. Step 5: Solve for x
    x = 347,431.39/660.80
  6. Step 6: Final answer
    x = 525.77

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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.