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Finding the Fourth Proportional to 300.90, 450.24 and 252.30

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Solution

The fourth proportional to 300.90, 450.24 and 252.30 is: 377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 450.24 = 252.30 : x
  2. Step 2: Convert to fraction form
    300.90/450.24 = 252.30/x
  3. Step 3: Cross multiply
    300.90x = 450.24 × 252.30
  4. Step 4: Simplify right side
    300.90x = 113,595.55
  5. Step 5: Solve for x
    x = 113,595.55/300.90
  6. Step 6: Final answer
    x = 377.52

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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.