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Finding the Fourth Proportional to 404.24, 605.40 and 323.16

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Solution

The fourth proportional to 404.24, 605.40 and 323.16 is: 483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 605.40 = 323.16 : x
  2. Step 2: Convert to fraction form
    404.24/605.40 = 323.16/x
  3. Step 3: Cross multiply
    404.24x = 605.40 × 323.16
  4. Step 4: Simplify right side
    404.24x = 195,641.06
  5. Step 5: Solve for x
    x = 195,641.06/404.24
  6. Step 6: Final answer
    x = 483.97

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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.