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Finding the Fourth Proportional to 343.89, 513.32 and 322.56

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Solution

The fourth proportional to 343.89, 513.32 and 322.56 is: 481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.89 : 513.32 = 322.56 : x
  2. Step 2: Convert to fraction form
    343.89/513.32 = 322.56/x
  3. Step 3: Cross multiply
    343.89x = 513.32 × 322.56
  4. Step 4: Simplify right side
    343.89x = 165,574.89
  5. Step 5: Solve for x
    x = 165,574.89/343.89
  6. Step 6: Final answer
    x = 481.48

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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.