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Finding the Fourth Proportional to 534.09, 796.13 and 475.23

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Solution

The fourth proportional to 534.09, 796.13 and 475.23 is: 708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 796.13 = 475.23 : x
  2. Step 2: Convert to fraction form
    534.09/796.13 = 475.23/x
  3. Step 3: Cross multiply
    534.09x = 796.13 × 475.23
  4. Step 4: Simplify right side
    534.09x = 378,339.50
  5. Step 5: Solve for x
    x = 378,339.50/534.09
  6. Step 6: Final answer
    x = 708.39

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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.