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Finding the Fourth Proportional to 506.06, 759.10 and 301.94

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Solution

The fourth proportional to 506.06, 759.10 and 301.94 is: 452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 759.10 = 301.94 : x
  2. Step 2: Convert to fraction form
    506.06/759.10 = 301.94/x
  3. Step 3: Cross multiply
    506.06x = 759.10 × 301.94
  4. Step 4: Simplify right side
    506.06x = 229,202.65
  5. Step 5: Solve for x
    x = 229,202.65/506.06
  6. Step 6: Final answer
    x = 452.92

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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.