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Finding the Fourth Proportional to 343.44, 512.91 and 324.72

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Solution

The fourth proportional to 343.44, 512.91 and 324.72 is: 484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.44 : 512.91 = 324.72 : x
  2. Step 2: Convert to fraction form
    343.44/512.91 = 324.72/x
  3. Step 3: Cross multiply
    343.44x = 512.91 × 324.72
  4. Step 4: Simplify right side
    343.44x = 166,552.14
  5. Step 5: Solve for x
    x = 166,552.14/343.44
  6. Step 6: Final answer
    x = 484.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.