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Finding the Fourth Proportional to 534.16, 796 and 518.52

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Solution

The fourth proportional to 534.16, 796 and 518.52 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 796 = 518.52 : x
  2. Step 2: Convert to fraction form
    534.16/796 = 518.52/x
  3. Step 3: Cross multiply
    534.16x = 796 × 518.52
  4. Step 4: Simplify right side
    534.16x = 412,741.92
  5. Step 5: Solve for x
    x = 412,741.92/534.16
  6. Step 6: Final answer
    x = 772.69

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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.