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Finding the Fourth Proportional to 669.92, 1,005.12 and 381.44

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Solution

The fourth proportional to 669.92, 1,005.12 and 381.44 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 1,005.12 = 381.44 : x
  2. Step 2: Convert to fraction form
    669.92/1,005.12 = 381.44/x
  3. Step 3: Cross multiply
    669.92x = 1,005.12 × 381.44
  4. Step 4: Simplify right side
    669.92x = 383,392.97
  5. Step 5: Solve for x
    x = 383,392.97/669.92
  6. Step 6: Final answer
    x = 572.30

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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.