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Finding the Fourth Proportional to 506.96, 760.44 and 362.96

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Solution

The fourth proportional to 506.96, 760.44 and 362.96 is: 544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 760.44 = 362.96 : x
  2. Step 2: Convert to fraction form
    506.96/760.44 = 362.96/x
  3. Step 3: Cross multiply
    506.96x = 760.44 × 362.96
  4. Step 4: Simplify right side
    506.96x = 276,009.30
  5. Step 5: Solve for x
    x = 276,009.30/506.96
  6. Step 6: Final answer
    x = 544.44

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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.