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Finding the Fourth Proportional to 666.84, 920.22 and 372.06

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Solution

The fourth proportional to 666.84, 920.22 and 372.06 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 920.22 = 372.06 : x
  2. Step 2: Convert to fraction form
    666.84/920.22 = 372.06/x
  3. Step 3: Cross multiply
    666.84x = 920.22 × 372.06
  4. Step 4: Simplify right side
    666.84x = 342,377.05
  5. Step 5: Solve for x
    x = 342,377.05/666.84
  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.