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Finding the Fourth Proportional to 506.24, 758.72 and 262.16

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Solution

The fourth proportional to 506.24, 758.72 and 262.16 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.24 : 758.72 = 262.16 : x
  2. Step 2: Convert to fraction form
    506.24/758.72 = 262.16/x
  3. Step 3: Cross multiply
    506.24x = 758.72 × 262.16
  4. Step 4: Simplify right side
    506.24x = 198,906.04
  5. Step 5: Solve for x
    x = 198,906.04/506.24
  6. Step 6: Final answer
    x = 392.91

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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.