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Finding the Fourth Proportional to 579.60, 799.28 and 404.88

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Solution

The fourth proportional to 579.60, 799.28 and 404.88 is: 558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 799.28 = 404.88 : x
  2. Step 2: Convert to fraction form
    579.60/799.28 = 404.88/x
  3. Step 3: Cross multiply
    579.60x = 799.28 × 404.88
  4. Step 4: Simplify right side
    579.60x = 323,612.49
  5. Step 5: Solve for x
    x = 323,612.49/579.60
  6. Step 6: Final answer
    x = 558.34

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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.