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Finding the Fourth Proportional to 427.66, 640.89 and 323.45

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Solution

The fourth proportional to 427.66, 640.89 and 323.45 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.66 : 640.89 = 323.45 : x
  2. Step 2: Convert to fraction form
    427.66/640.89 = 323.45/x
  3. Step 3: Cross multiply
    427.66x = 640.89 × 323.45
  4. Step 4: Simplify right side
    427.66x = 207,296.66
  5. Step 5: Solve for x
    x = 207,296.66/427.66
  6. Step 6: Final answer
    x = 484.73

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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.