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Finding the Fourth Proportional to 579.60, 799.68 and 414.24

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Solution

The fourth proportional to 579.60, 799.68 and 414.24 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 799.68 = 414.24 : x
  2. Step 2: Convert to fraction form
    579.60/799.68 = 414.24/x
  3. Step 3: Cross multiply
    579.60x = 799.68 × 414.24
  4. Step 4: Simplify right side
    579.60x = 331,259.44
  5. Step 5: Solve for x
    x = 331,259.44/579.60
  6. Step 6: Final answer
    x = 571.53

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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.