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Finding the Fourth Proportional to 612.38, 917.36 and 496.24

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Solution

The fourth proportional to 612.38, 917.36 and 496.24 is: 743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.38 : 917.36 = 496.24 : x
  2. Step 2: Convert to fraction form
    612.38/917.36 = 496.24/x
  3. Step 3: Cross multiply
    612.38x = 917.36 × 496.24
  4. Step 4: Simplify right side
    612.38x = 455,230.73
  5. Step 5: Solve for x
    x = 455,230.73/612.38
  6. Step 6: Final answer
    x = 743.38

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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.