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Finding the Fourth Proportional to 506.96, 760.44 and 165.04

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Solution

The fourth proportional to 506.96, 760.44 and 165.04 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 760.44 = 165.04 : x
  2. Step 2: Convert to fraction form
    506.96/760.44 = 165.04/x
  3. Step 3: Cross multiply
    506.96x = 760.44 × 165.04
  4. Step 4: Simplify right side
    506.96x = 125,503.02
  5. Step 5: Solve for x
    x = 125,503.02/506.96
  6. Step 6: Final answer
    x = 247.56

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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.