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Finding the Fourth Proportional to 508.82, 763.50 and 234.92

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Solution

The fourth proportional to 508.82, 763.50 and 234.92 is: 352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.82 : 763.50 = 234.92 : x
  2. Step 2: Convert to fraction form
    508.82/763.50 = 234.92/x
  3. Step 3: Cross multiply
    508.82x = 763.50 × 234.92
  4. Step 4: Simplify right side
    508.82x = 179,361.42
  5. Step 5: Solve for x
    x = 179,361.42/508.82
  6. Step 6: Final answer
    x = 352.50

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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.