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Finding the Fourth Proportional to 506.68, 759.31 and 404.28

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Solution

The fourth proportional to 506.68, 759.31 and 404.28 is: 605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 759.31 = 404.28 : x
  2. Step 2: Convert to fraction form
    506.68/759.31 = 404.28/x
  3. Step 3: Cross multiply
    506.68x = 759.31 × 404.28
  4. Step 4: Simplify right side
    506.68x = 306,972.84
  5. Step 5: Solve for x
    x = 306,972.84/506.68
  6. Step 6: Final answer
    x = 605.85

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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.