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Finding the Fourth Proportional to 579.59, 799.85 and 346.85

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Solution

The fourth proportional to 579.59, 799.85 and 346.85 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.59 : 799.85 = 346.85 : x
  2. Step 2: Convert to fraction form
    579.59/799.85 = 346.85/x
  3. Step 3: Cross multiply
    579.59x = 799.85 × 346.85
  4. Step 4: Simplify right side
    579.59x = 277,427.97
  5. Step 5: Solve for x
    x = 277,427.97/579.59
  6. Step 6: Final answer
    x = 478.66

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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.