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Finding the Fourth Proportional to 579.42, 799.60 and 317.44

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Solution

The fourth proportional to 579.42, 799.60 and 317.44 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 799.60 = 317.44 : x
  2. Step 2: Convert to fraction form
    579.42/799.60 = 317.44/x
  3. Step 3: Cross multiply
    579.42x = 799.60 × 317.44
  4. Step 4: Simplify right side
    579.42x = 253,819.44
  5. Step 5: Solve for x
    x = 253,819.44/579.42
  6. Step 6: Final answer
    x = 438.06

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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.