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Finding the Fourth Proportional to 579.63, 799.85 and 346.71

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Solution

The fourth proportional to 579.63, 799.85 and 346.71 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.63 : 799.85 = 346.71 : x
  2. Step 2: Convert to fraction form
    579.63/799.85 = 346.71/x
  3. Step 3: Cross multiply
    579.63x = 799.85 × 346.71
  4. Step 4: Simplify right side
    579.63x = 277,314.26
  5. Step 5: Solve for x
    x = 277,314.26/579.63
  6. Step 6: Final answer
    x = 478.43

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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.