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Finding the Fourth Proportional to 617.36, 927.30 and 496.40

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Solution

The fourth proportional to 617.36, 927.30 and 496.40 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.36 : 927.30 = 496.40 : x
  2. Step 2: Convert to fraction form
    617.36/927.30 = 496.40/x
  3. Step 3: Cross multiply
    617.36x = 927.30 × 496.40
  4. Step 4: Simplify right side
    617.36x = 460,311.72
  5. Step 5: Solve for x
    x = 460,311.72/617.36
  6. Step 6: Final answer
    x = 745.61

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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.