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Finding the Fourth Proportional to 404.20, 605.72 and 322.04

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Solution

The fourth proportional to 404.20, 605.72 and 322.04 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.20 : 605.72 = 322.04 : x
  2. Step 2: Convert to fraction form
    404.20/605.72 = 322.04/x
  3. Step 3: Cross multiply
    404.20x = 605.72 × 322.04
  4. Step 4: Simplify right side
    404.20x = 195,066.07
  5. Step 5: Solve for x
    x = 195,066.07/404.20
  6. Step 6: Final answer
    x = 482.60

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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.