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Finding the Fourth Proportional to 660.29, 911.16 and 380.50

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Solution

The fourth proportional to 660.29, 911.16 and 380.50 is: 525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 911.16 = 380.50 : x
  2. Step 2: Convert to fraction form
    660.29/911.16 = 380.50/x
  3. Step 3: Cross multiply
    660.29x = 911.16 × 380.50
  4. Step 4: Simplify right side
    660.29x = 346,694.10
  5. Step 5: Solve for x
    x = 346,694.10/660.29
  6. Step 6: Final answer
    x = 525.07

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Why These Related Problems?

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