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Finding the Fourth Proportional to 538.14, 739.05 and 450.66

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Solution

The fourth proportional to 538.14, 739.05 and 450.66 is: 618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 739.05 = 450.66 : x
  2. Step 2: Convert to fraction form
    538.14/739.05 = 450.66/x
  3. Step 3: Cross multiply
    538.14x = 739.05 × 450.66
  4. Step 4: Simplify right side
    538.14x = 333,060.27
  5. Step 5: Solve for x
    x = 333,060.27/538.14
  6. Step 6: Final answer
    x = 618.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.