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Finding the Fourth Proportional to 665.96, 919.01 and 371.24

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Solution

The fourth proportional to 665.96, 919.01 and 371.24 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 919.01 = 371.24 : x
  2. Step 2: Convert to fraction form
    665.96/919.01 = 371.24/x
  3. Step 3: Cross multiply
    665.96x = 919.01 × 371.24
  4. Step 4: Simplify right side
    665.96x = 341,173.27
  5. Step 5: Solve for x
    x = 341,173.27/665.96
  6. Step 6: Final answer
    x = 512.30

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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.