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Finding the Fourth Proportional to 576.10, 795.05 and 327.41

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Solution

The fourth proportional to 576.10, 795.05 and 327.41 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 795.05 = 327.41 : x
  2. Step 2: Convert to fraction form
    576.10/795.05 = 327.41/x
  3. Step 3: Cross multiply
    576.10x = 795.05 × 327.41
  4. Step 4: Simplify right side
    576.10x = 260,305.92
  5. Step 5: Solve for x
    x = 260,305.92/576.10
  6. Step 6: Final answer
    x = 451.84

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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.