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Finding the Fourth Proportional to 507.97, 761.28 and 325.18

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Solution

The fourth proportional to 507.97, 761.28 and 325.18 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 761.28 = 325.18 : x
  2. Step 2: Convert to fraction form
    507.97/761.28 = 325.18/x
  3. Step 3: Cross multiply
    507.97x = 761.28 × 325.18
  4. Step 4: Simplify right side
    507.97x = 247,553.03
  5. Step 5: Solve for x
    x = 247,553.03/507.97
  6. Step 6: Final answer
    x = 487.34

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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.