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Finding the Fourth Proportional to 508.08, 760.49 and 264.27

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Solution

The fourth proportional to 508.08, 760.49 and 264.27 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 760.49 = 264.27 : x
  2. Step 2: Convert to fraction form
    508.08/760.49 = 264.27/x
  3. Step 3: Cross multiply
    508.08x = 760.49 × 264.27
  4. Step 4: Simplify right side
    508.08x = 200,974.69
  5. Step 5: Solve for x
    x = 200,974.69/508.08
  6. Step 6: Final answer
    x = 395.56

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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.