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Finding the Fourth Proportional to 452.23, 623.83 and 327.75

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Solution

The fourth proportional to 452.23, 623.83 and 327.75 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 623.83 = 327.75 : x
  2. Step 2: Convert to fraction form
    452.23/623.83 = 327.75/x
  3. Step 3: Cross multiply
    452.23x = 623.83 × 327.75
  4. Step 4: Simplify right side
    452.23x = 204,456.82
  5. Step 5: Solve for x
    x = 204,456.82/452.23
  6. Step 6: Final answer
    x = 452.10

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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.