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Finding the Fourth Proportional to 665.36, 1,000.08 and 423.44

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Solution

The fourth proportional to 665.36, 1,000.08 and 423.44 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.36 : 1,000.08 = 423.44 : x
  2. Step 2: Convert to fraction form
    665.36/1,000.08 = 423.44/x
  3. Step 3: Cross multiply
    665.36x = 1,000.08 × 423.44
  4. Step 4: Simplify right side
    665.36x = 423,473.88
  5. Step 5: Solve for x
    x = 423,473.88/665.36
  6. Step 6: Final answer
    x = 636.46

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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.