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Finding the Fourth Proportional to 477.99, 717.59 and 323.28

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Solution

The fourth proportional to 477.99, 717.59 and 323.28 is: 485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.99 : 717.59 = 323.28 : x
  2. Step 2: Convert to fraction form
    477.99/717.59 = 323.28/x
  3. Step 3: Cross multiply
    477.99x = 717.59 × 323.28
  4. Step 4: Simplify right side
    477.99x = 231,982.50
  5. Step 5: Solve for x
    x = 231,982.50/477.99
  6. Step 6: Final answer
    x = 485.33

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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.