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Finding the Fourth Proportional to 612.94, 845.87 and 364.26

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Solution

The fourth proportional to 612.94, 845.87 and 364.26 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.94 : 845.87 = 364.26 : x
  2. Step 2: Convert to fraction form
    612.94/845.87 = 364.26/x
  3. Step 3: Cross multiply
    612.94x = 845.87 × 364.26
  4. Step 4: Simplify right side
    612.94x = 308,116.15
  5. Step 5: Solve for x
    x = 308,116.15/612.94
  6. Step 6: Final answer
    x = 502.69

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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.