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Finding the Fourth Proportional to 666.32, 999.47 and 204.09

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Solution

The fourth proportional to 666.32, 999.47 and 204.09 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.32 : 999.47 = 204.09 : x
  2. Step 2: Convert to fraction form
    666.32/999.47 = 204.09/x
  3. Step 3: Cross multiply
    666.32x = 999.47 × 204.09
  4. Step 4: Simplify right side
    666.32x = 203,981.83
  5. Step 5: Solve for x
    x = 203,981.83/666.32
  6. Step 6: Final answer
    x = 306.13

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