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Finding the Fourth Proportional to 666.57, 919.82 and 371.83

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Solution

The fourth proportional to 666.57, 919.82 and 371.83 is: 513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.57 : 919.82 = 371.83 : x
  2. Step 2: Convert to fraction form
    666.57/919.82 = 371.83/x
  3. Step 3: Cross multiply
    666.57x = 919.82 × 371.83
  4. Step 4: Simplify right side
    666.57x = 342,015.30
  5. Step 5: Solve for x
    x = 342,015.30/666.57
  6. Step 6: Final answer
    x = 513.10

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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.