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Finding the Fourth Proportional to 578.96, 799.01 and 369.14

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Solution

The fourth proportional to 578.96, 799.01 and 369.14 is: 509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.96 : 799.01 = 369.14 : x
  2. Step 2: Convert to fraction form
    578.96/799.01 = 369.14/x
  3. Step 3: Cross multiply
    578.96x = 799.01 × 369.14
  4. Step 4: Simplify right side
    578.96x = 294,948.67
  5. Step 5: Solve for x
    x = 294,948.67/578.96
  6. Step 6: Final answer
    x = 509.44

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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.