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Finding the Fourth Proportional to 506.46, 759.58 and 301.44

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Solution

The fourth proportional to 506.46, 759.58 and 301.44 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 759.58 = 301.44 : x
  2. Step 2: Convert to fraction form
    506.46/759.58 = 301.44/x
  3. Step 3: Cross multiply
    506.46x = 759.58 × 301.44
  4. Step 4: Simplify right side
    506.46x = 228,967.80
  5. Step 5: Solve for x
    x = 228,967.80/506.46
  6. Step 6: Final answer
    x = 452.09

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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.