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Finding the Fourth Proportional to 404.12, 602.74 and 396.83

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Solution

The fourth proportional to 404.12, 602.74 and 396.83 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.12 : 602.74 = 396.83 : x
  2. Step 2: Convert to fraction form
    404.12/602.74 = 396.83/x
  3. Step 3: Cross multiply
    404.12x = 602.74 × 396.83
  4. Step 4: Simplify right side
    404.12x = 239,185.31
  5. Step 5: Solve for x
    x = 239,185.31/404.12
  6. Step 6: Final answer
    x = 591.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.