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Finding the Fourth Proportional to 579.76, 799.81 and 346.75

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Solution

The fourth proportional to 579.76, 799.81 and 346.75 is: 478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.76 : 799.81 = 346.75 : x
  2. Step 2: Convert to fraction form
    579.76/799.81 = 346.75/x
  3. Step 3: Cross multiply
    579.76x = 799.81 × 346.75
  4. Step 4: Simplify right side
    579.76x = 277,334.12
  5. Step 5: Solve for x
    x = 277,334.12/579.76
  6. Step 6: Final answer
    x = 478.36

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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.