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Finding the Fourth Proportional to 579.48, 799.42 and 346.52

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Solution

The fourth proportional to 579.48, 799.42 and 346.52 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.48 : 799.42 = 346.52 : x
  2. Step 2: Convert to fraction form
    579.48/799.42 = 346.52/x
  3. Step 3: Cross multiply
    579.48x = 799.42 × 346.52
  4. Step 4: Simplify right side
    579.48x = 277,015.02
  5. Step 5: Solve for x
    x = 277,015.02/579.48
  6. Step 6: Final answer
    x = 478.04

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