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Finding the Fourth Proportional to 576.17, 795.03 and 343.25

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Solution

The fourth proportional to 576.17, 795.03 and 343.25 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.17 : 795.03 = 343.25 : x
  2. Step 2: Convert to fraction form
    576.17/795.03 = 343.25/x
  3. Step 3: Cross multiply
    576.17x = 795.03 × 343.25
  4. Step 4: Simplify right side
    576.17x = 272,894.05
  5. Step 5: Solve for x
    x = 272,894.05/576.17
  6. Step 6: Final answer
    x = 473.63

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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.