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Finding the Fourth Proportional to 576.07, 794.88 and 327.38

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Solution

The fourth proportional to 576.07, 794.88 and 327.38 is: 451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.07 : 794.88 = 327.38 : x
  2. Step 2: Convert to fraction form
    576.07/794.88 = 327.38/x
  3. Step 3: Cross multiply
    576.07x = 794.88 × 327.38
  4. Step 4: Simplify right side
    576.07x = 260,223.84
  5. Step 5: Solve for x
    x = 260,223.84/576.07
  6. Step 6: Final answer
    x = 451.72

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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.