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Finding the Fourth Proportional to 660.86, 911.78 and 381.06

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Solution

The fourth proportional to 660.86, 911.78 and 381.06 is: 525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 911.78 = 381.06 : x
  2. Step 2: Convert to fraction form
    660.86/911.78 = 381.06/x
  3. Step 3: Cross multiply
    660.86x = 911.78 × 381.06
  4. Step 4: Simplify right side
    660.86x = 347,443.84
  5. Step 5: Solve for x
    x = 347,443.84/660.86
  6. Step 6: Final answer
    x = 525.74

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