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Finding the Fourth Proportional to 579.63, 799.89 and 346.75

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Solution

The fourth proportional to 579.63, 799.89 and 346.75 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.63 : 799.89 = 346.75 : x
  2. Step 2: Convert to fraction form
    579.63/799.89 = 346.75/x
  3. Step 3: Cross multiply
    579.63x = 799.89 × 346.75
  4. Step 4: Simplify right side
    579.63x = 277,361.86
  5. Step 5: Solve for x
    x = 277,361.86/579.63
  6. Step 6: Final answer
    x = 478.52

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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.