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Finding the Fourth Proportional to 540.49, 746.01 and 343.97

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Solution

The fourth proportional to 540.49, 746.01 and 343.97 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 746.01 = 343.97 : x
  2. Step 2: Convert to fraction form
    540.49/746.01 = 343.97/x
  3. Step 3: Cross multiply
    540.49x = 746.01 × 343.97
  4. Step 4: Simplify right side
    540.49x = 256,605.06
  5. Step 5: Solve for x
    x = 256,605.06/540.49
  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.