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Finding the Fourth Proportional to 666.39, 1,000.01 and 281.64

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Solution

The fourth proportional to 666.39, 1,000.01 and 281.64 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.39 : 1,000.01 = 281.64 : x
  2. Step 2: Convert to fraction form
    666.39/1,000.01 = 281.64/x
  3. Step 3: Cross multiply
    666.39x = 1,000.01 × 281.64
  4. Step 4: Simplify right side
    666.39x = 281,641.41
  5. Step 5: Solve for x
    x = 281,641.41/666.39
  6. Step 6: Final answer
    x = 422.64

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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.