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Finding the Fourth Proportional to 660.81, 912.06 and 381.18

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Solution

The fourth proportional to 660.81, 912.06 and 381.18 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.81 : 912.06 = 381.18 : x
  2. Step 2: Convert to fraction form
    660.81/912.06 = 381.18/x
  3. Step 3: Cross multiply
    660.81x = 912.06 × 381.18
  4. Step 4: Simplify right side
    660.81x = 347,659.03
  5. Step 5: Solve for x
    x = 347,659.03/660.81
  6. Step 6: Final answer
    x = 526.11

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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.