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Finding the Fourth Proportional to 506.26, 758.91 and 232.19

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Solution

The fourth proportional to 506.26, 758.91 and 232.19 is: 348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 758.91 = 232.19 : x
  2. Step 2: Convert to fraction form
    506.26/758.91 = 232.19/x
  3. Step 3: Cross multiply
    506.26x = 758.91 × 232.19
  4. Step 4: Simplify right side
    506.26x = 176,211.31
  5. Step 5: Solve for x
    x = 176,211.31/506.26
  6. Step 6: Final answer
    x = 348.06

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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.