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Finding the Fourth Proportional to 576.74, 795.91 and 328.05

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Solution

The fourth proportional to 576.74, 795.91 and 328.05 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.74 : 795.91 = 328.05 : x
  2. Step 2: Convert to fraction form
    576.74/795.91 = 328.05/x
  3. Step 3: Cross multiply
    576.74x = 795.91 × 328.05
  4. Step 4: Simplify right side
    576.74x = 261,098.28
  5. Step 5: Solve for x
    x = 261,098.28/576.74
  6. Step 6: Final answer
    x = 452.71

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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.