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Finding the Fourth Proportional to 404.52, 605.82 and 212.20

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Solution

The fourth proportional to 404.52, 605.82 and 212.20 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.52 : 605.82 = 212.20 : x
  2. Step 2: Convert to fraction form
    404.52/605.82 = 212.20/x
  3. Step 3: Cross multiply
    404.52x = 605.82 × 212.20
  4. Step 4: Simplify right side
    404.52x = 128,555.00
  5. Step 5: Solve for x
    x = 128,555.00/404.52
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.