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Finding the Fourth Proportional to 579.72, 799.92 and 346.80

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Solution

The fourth proportional to 579.72, 799.92 and 346.80 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 799.92 = 346.80 : x
  2. Step 2: Convert to fraction form
    579.72/799.92 = 346.80/x
  3. Step 3: Cross multiply
    579.72x = 799.92 × 346.80
  4. Step 4: Simplify right side
    579.72x = 277,412.26
  5. Step 5: Solve for x
    x = 277,412.26/579.72
  6. Step 6: Final answer
    x = 478.53

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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.