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Finding the Fourth Proportional to 452.38, 677.76 and 236.20

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Solution

The fourth proportional to 452.38, 677.76 and 236.20 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 677.76 = 236.20 : x
  2. Step 2: Convert to fraction form
    452.38/677.76 = 236.20/x
  3. Step 3: Cross multiply
    452.38x = 677.76 × 236.20
  4. Step 4: Simplify right side
    452.38x = 160,086.91
  5. Step 5: Solve for x
    x = 160,086.91/452.38
  6. Step 6: Final answer
    x = 353.88

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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.