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Finding the Fourth Proportional to 660.23, 911.15 and 380.51

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Solution

The fourth proportional to 660.23, 911.15 and 380.51 is: 525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.23 : 911.15 = 380.51 : x
  2. Step 2: Convert to fraction form
    660.23/911.15 = 380.51/x
  3. Step 3: Cross multiply
    660.23x = 911.15 × 380.51
  4. Step 4: Simplify right side
    660.23x = 346,698.46
  5. Step 5: Solve for x
    x = 346,698.46/660.23
  6. Step 6: Final answer
    x = 525.12

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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.