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Finding the Fourth Proportional to 612.71, 845.48 and 364.09

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Solution

The fourth proportional to 612.71, 845.48 and 364.09 is: 502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.71 : 845.48 = 364.09 : x
  2. Step 2: Convert to fraction form
    612.71/845.48 = 364.09/x
  3. Step 3: Cross multiply
    612.71x = 845.48 × 364.09
  4. Step 4: Simplify right side
    612.71x = 307,826.59
  5. Step 5: Solve for x
    x = 307,826.59/612.71
  6. Step 6: Final answer
    x = 502.41

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Why These Related Problems?

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