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Finding the Fourth Proportional to 506.31, 758.99 and 232.13

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Solution

The fourth proportional to 506.31, 758.99 and 232.13 is: 347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 758.99 = 232.13 : x
  2. Step 2: Convert to fraction form
    506.31/758.99 = 232.13/x
  3. Step 3: Cross multiply
    506.31x = 758.99 × 232.13
  4. Step 4: Simplify right side
    506.31x = 176,181.13
  5. Step 5: Solve for x
    x = 176,181.13/506.31
  6. Step 6: Final answer
    x = 347.97

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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.