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Finding the Fourth Proportional to 665.91, 918.94 and 371.17

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Solution

The fourth proportional to 665.91, 918.94 and 371.17 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 918.94 = 371.17 : x
  2. Step 2: Convert to fraction form
    665.91/918.94 = 371.17/x
  3. Step 3: Cross multiply
    665.91x = 918.94 × 371.17
  4. Step 4: Simplify right side
    665.91x = 341,078.37
  5. Step 5: Solve for x
    x = 341,078.37/665.91
  6. Step 6: Final answer
    x = 512.20

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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.