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Finding the Fourth Proportional to 666.64, 1,000.02 and 204.42

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Solution

The fourth proportional to 666.64, 1,000.02 and 204.42 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 1,000.02 = 204.42 : x
  2. Step 2: Convert to fraction form
    666.64/1,000.02 = 204.42/x
  3. Step 3: Cross multiply
    666.64x = 1,000.02 × 204.42
  4. Step 4: Simplify right side
    666.64x = 204,424.09
  5. Step 5: Solve for x
    x = 204,424.09/666.64
  6. Step 6: Final answer
    x = 306.65

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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.