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Finding the Fourth Proportional to 666.37, 919.57 and 371.63

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Solution

The fourth proportional to 666.37, 919.57 and 371.63 is: 512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 919.57 = 371.63 : x
  2. Step 2: Convert to fraction form
    666.37/919.57 = 371.63/x
  3. Step 3: Cross multiply
    666.37x = 919.57 × 371.63
  4. Step 4: Simplify right side
    666.37x = 341,739.80
  5. Step 5: Solve for x
    x = 341,739.80/666.37
  6. Step 6: Final answer
    x = 512.84

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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.