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Finding the Fourth Proportional to 508.52, 762.62 and 326.12

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Solution

The fourth proportional to 508.52, 762.62 and 326.12 is: 489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.52 : 762.62 = 326.12 : x
  2. Step 2: Convert to fraction form
    508.52/762.62 = 326.12/x
  3. Step 3: Cross multiply
    508.52x = 762.62 × 326.12
  4. Step 4: Simplify right side
    508.52x = 248,705.63
  5. Step 5: Solve for x
    x = 248,705.63/508.52
  6. Step 6: Final answer
    x = 489.08

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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.