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Finding the Fourth Proportional to 612.36, 845.24 and 363.78

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Solution

The fourth proportional to 612.36, 845.24 and 363.78 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 845.24 = 363.78 : x
  2. Step 2: Convert to fraction form
    612.36/845.24 = 363.78/x
  3. Step 3: Cross multiply
    612.36x = 845.24 × 363.78
  4. Step 4: Simplify right side
    612.36x = 307,479.59
  5. Step 5: Solve for x
    x = 307,479.59/612.36
  6. Step 6: Final answer
    x = 502.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.