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Finding the Fourth Proportional to 576.02, 794.92 and 343.14

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Solution

The fourth proportional to 576.02, 794.92 and 343.14 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 794.92 = 343.14 : x
  2. Step 2: Convert to fraction form
    576.02/794.92 = 343.14/x
  3. Step 3: Cross multiply
    576.02x = 794.92 × 343.14
  4. Step 4: Simplify right side
    576.02x = 272,768.85
  5. Step 5: Solve for x
    x = 272,768.85/576.02
  6. Step 6: Final answer
    x = 473.54

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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.