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Finding the Fourth Proportional to 612.92, 845.91 and 364.43

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Solution

The fourth proportional to 612.92, 845.91 and 364.43 is: 502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 845.91 = 364.43 : x
  2. Step 2: Convert to fraction form
    612.92/845.91 = 364.43/x
  3. Step 3: Cross multiply
    612.92x = 845.91 × 364.43
  4. Step 4: Simplify right side
    612.92x = 308,274.98
  5. Step 5: Solve for x
    x = 308,274.98/612.92
  6. Step 6: Final answer
    x = 502.96

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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.