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Finding the Fourth Proportional to 427.62, 590.81 and 323.05

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Solution

The fourth proportional to 427.62, 590.81 and 323.05 is: 446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.62 : 590.81 = 323.05 : x
  2. Step 2: Convert to fraction form
    427.62/590.81 = 323.05/x
  3. Step 3: Cross multiply
    427.62x = 590.81 × 323.05
  4. Step 4: Simplify right side
    427.62x = 190,861.17
  5. Step 5: Solve for x
    x = 190,861.17/427.62
  6. Step 6: Final answer
    x = 446.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.