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Finding the Fourth Proportional to 523.38, 722.45 and 343.94

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Solution

The fourth proportional to 523.38, 722.45 and 343.94 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 722.45 = 343.94 : x
  2. Step 2: Convert to fraction form
    523.38/722.45 = 343.94/x
  3. Step 3: Cross multiply
    523.38x = 722.45 × 343.94
  4. Step 4: Simplify right side
    523.38x = 248,477.73
  5. Step 5: Solve for x
    x = 248,477.73/523.38
  6. Step 6: Final answer
    x = 474.76

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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.