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Finding the Fourth Proportional to 666.63, 999.93 and 204.41

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Solution

The fourth proportional to 666.63, 999.93 and 204.41 is: 306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 999.93 = 204.41 : x
  2. Step 2: Convert to fraction form
    666.63/999.93 = 204.41/x
  3. Step 3: Cross multiply
    666.63x = 999.93 × 204.41
  4. Step 4: Simplify right side
    666.63x = 204,395.69
  5. Step 5: Solve for x
    x = 204,395.69/666.63
  6. Step 6: Final answer
    x = 306.61

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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.