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Finding the Fourth Proportional to 506.01, 761.76 and 344.73

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Solution

The fourth proportional to 506.01, 761.76 and 344.73 is: 518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 761.76 = 344.73 : x
  2. Step 2: Convert to fraction form
    506.01/761.76 = 344.73/x
  3. Step 3: Cross multiply
    506.01x = 761.76 × 344.73
  4. Step 4: Simplify right side
    506.01x = 262,601.52
  5. Step 5: Solve for x
    x = 262,601.52/506.01
  6. Step 6: Final answer
    x = 518.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.