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Finding the Fourth Proportional to 506.15, 754.22 and 451.63

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Solution

The fourth proportional to 506.15, 754.22 and 451.63 is: 672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.15 : 754.22 = 451.63 : x
  2. Step 2: Convert to fraction form
    506.15/754.22 = 451.63/x
  3. Step 3: Cross multiply
    506.15x = 754.22 × 451.63
  4. Step 4: Simplify right side
    506.15x = 340,627.06
  5. Step 5: Solve for x
    x = 340,627.06/506.15
  6. Step 6: Final answer
    x = 672.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.