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Finding the Fourth Proportional to 452.43, 624.22 and 275.25

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Solution

The fourth proportional to 452.43, 624.22 and 275.25 is: 379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 624.22 = 275.25 : x
  2. Step 2: Convert to fraction form
    452.43/624.22 = 275.25/x
  3. Step 3: Cross multiply
    452.43x = 624.22 × 275.25
  4. Step 4: Simplify right side
    452.43x = 171,816.56
  5. Step 5: Solve for x
    x = 171,816.56/452.43
  6. Step 6: Final answer
    x = 379.76

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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.