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Finding the Fourth Proportional to 579.60, 799.60 and 393.24

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Solution

The fourth proportional to 579.60, 799.60 and 393.24 is: 542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 799.60 = 393.24 : x
  2. Step 2: Convert to fraction form
    579.60/799.60 = 393.24/x
  3. Step 3: Cross multiply
    579.60x = 799.60 × 393.24
  4. Step 4: Simplify right side
    579.60x = 314,434.70
  5. Step 5: Solve for x
    x = 314,434.70/579.60
  6. Step 6: Final answer
    x = 542.50

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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.