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Finding the Fourth Proportional to 506.28, 758.04 and 424.26

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Solution

The fourth proportional to 506.28, 758.04 and 424.26 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 758.04 = 424.26 : x
  2. Step 2: Convert to fraction form
    506.28/758.04 = 424.26/x
  3. Step 3: Cross multiply
    506.28x = 758.04 × 424.26
  4. Step 4: Simplify right side
    506.28x = 321,606.05
  5. Step 5: Solve for x
    x = 321,606.05/506.28
  6. Step 6: Final answer
    x = 635.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.