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Finding the Fourth Proportional to 576.34, 795.36 and 343.42

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Solution

The fourth proportional to 576.34, 795.36 and 343.42 is: 473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.34 : 795.36 = 343.42 : x
  2. Step 2: Convert to fraction form
    576.34/795.36 = 343.42/x
  3. Step 3: Cross multiply
    576.34x = 795.36 × 343.42
  4. Step 4: Simplify right side
    576.34x = 273,142.53
  5. Step 5: Solve for x
    x = 273,142.53/576.34
  6. Step 6: Final answer
    x = 473.93

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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.