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Finding the Fourth Proportional to 508.48, 762.90 and 234.58

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Solution

The fourth proportional to 508.48, 762.90 and 234.58 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 762.90 = 234.58 : x
  2. Step 2: Convert to fraction form
    508.48/762.90 = 234.58/x
  3. Step 3: Cross multiply
    508.48x = 762.90 × 234.58
  4. Step 4: Simplify right side
    508.48x = 178,961.08
  5. Step 5: Solve for x
    x = 178,961.08/508.48
  6. Step 6: Final answer
    x = 351.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.