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Finding the Fourth Proportional to 578.91, 799.14 and 401.84

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Solution

The fourth proportional to 578.91, 799.14 and 401.84 is: 554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.91 : 799.14 = 401.84 : x
  2. Step 2: Convert to fraction form
    578.91/799.14 = 401.84/x
  3. Step 3: Cross multiply
    578.91x = 799.14 × 401.84
  4. Step 4: Simplify right side
    578.91x = 321,126.93
  5. Step 5: Solve for x
    x = 321,126.93/578.91
  6. Step 6: Final answer
    x = 554.71

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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.