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Finding the Fourth Proportional to 578.62, 799.42 and 404.74

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Solution

The fourth proportional to 578.62, 799.42 and 404.74 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.62 : 799.42 = 404.74 : x
  2. Step 2: Convert to fraction form
    578.62/799.42 = 404.74/x
  3. Step 3: Cross multiply
    578.62x = 799.42 × 404.74
  4. Step 4: Simplify right side
    578.62x = 323,557.25
  5. Step 5: Solve for x
    x = 323,557.25/578.62
  6. Step 6: Final answer
    x = 559.19

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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.