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Finding the Fourth Proportional to 660.84, 911.86 and 381.08

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Solution

The fourth proportional to 660.84, 911.86 and 381.08 is: 525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.84 : 911.86 = 381.08 : x
  2. Step 2: Convert to fraction form
    660.84/911.86 = 381.08/x
  3. Step 3: Cross multiply
    660.84x = 911.86 × 381.08
  4. Step 4: Simplify right side
    660.84x = 347,491.61
  5. Step 5: Solve for x
    x = 347,491.61/660.84
  6. Step 6: Final answer
    x = 525.83

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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.