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Finding the Fourth Proportional to 666.92, 999.97 and 342.11

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Solution

The fourth proportional to 666.92, 999.97 and 342.11 is: 512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.92 : 999.97 = 342.11 : x
  2. Step 2: Convert to fraction form
    666.92/999.97 = 342.11/x
  3. Step 3: Cross multiply
    666.92x = 999.97 × 342.11
  4. Step 4: Simplify right side
    666.92x = 342,093.03
  5. Step 5: Solve for x
    x = 342,093.03/666.92
  6. Step 6: Final answer
    x = 512.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.