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Finding the Fourth Proportional to 660.16, 911.06 and 380.48

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Solution

The fourth proportional to 660.16, 911.06 and 380.48 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.16 : 911.06 = 380.48 : x
  2. Step 2: Convert to fraction form
    660.16/911.06 = 380.48/x
  3. Step 3: Cross multiply
    660.16x = 911.06 × 380.48
  4. Step 4: Simplify right side
    660.16x = 346,640.11
  5. Step 5: Solve for x
    x = 346,640.11/660.16
  6. Step 6: Final answer
    x = 525.08

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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.