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Finding the Fourth Proportional to 666.82, 920.17 and 372.07

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Solution

The fourth proportional to 666.82, 920.17 and 372.07 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 920.17 = 372.07 : x
  2. Step 2: Convert to fraction form
    666.82/920.17 = 372.07/x
  3. Step 3: Cross multiply
    666.82x = 920.17 × 372.07
  4. Step 4: Simplify right side
    666.82x = 342,367.65
  5. Step 5: Solve for x
    x = 342,367.65/666.82
  6. Step 6: Final answer
    x = 513.43

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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.