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Finding the Fourth Proportional to 508.12, 761.86 and 233.96

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Solution

The fourth proportional to 508.12, 761.86 and 233.96 is: 350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 761.86 = 233.96 : x
  2. Step 2: Convert to fraction form
    508.12/761.86 = 233.96/x
  3. Step 3: Cross multiply
    508.12x = 761.86 × 233.96
  4. Step 4: Simplify right side
    508.12x = 178,244.77
  5. Step 5: Solve for x
    x = 178,244.77/508.12
  6. Step 6: Final answer
    x = 350.79

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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.