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Finding the Fourth Proportional to 506, 758.73 and 231.71

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Solution

The fourth proportional to 506, 758.73 and 231.71 is: 347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 758.73 = 231.71 : x
  2. Step 2: Convert to fraction form
    506/758.73 = 231.71/x
  3. Step 3: Cross multiply
    506x = 758.73 × 231.71
  4. Step 4: Simplify right side
    506x = 175,805.33
  5. Step 5: Solve for x
    x = 175,805.33/506
  6. Step 6: Final answer
    x = 347.44

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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.