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Finding the Fourth Proportional to 579.66, 800.13 and 346.78

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Solution

The fourth proportional to 579.66, 800.13 and 346.78 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 800.13 = 346.78 : x
  2. Step 2: Convert to fraction form
    579.66/800.13 = 346.78/x
  3. Step 3: Cross multiply
    579.66x = 800.13 × 346.78
  4. Step 4: Simplify right side
    579.66x = 277,469.43
  5. Step 5: Solve for x
    x = 277,469.43/579.66
  6. Step 6: Final answer
    x = 478.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.