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Finding the Fourth Proportional to 665.93, 919.01 and 371.21

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Solution

The fourth proportional to 665.93, 919.01 and 371.21 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.93 : 919.01 = 371.21 : x
  2. Step 2: Convert to fraction form
    665.93/919.01 = 371.21/x
  3. Step 3: Cross multiply
    665.93x = 919.01 × 371.21
  4. Step 4: Simplify right side
    665.93x = 341,142.04
  5. Step 5: Solve for x
    x = 341,142.04/665.93
  6. Step 6: Final answer
    x = 512.28

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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.