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Finding the Fourth Proportional to 536.39, 798.81 and 518.16

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Solution

The fourth proportional to 536.39, 798.81 and 518.16 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.39 : 798.81 = 518.16 : x
  2. Step 2: Convert to fraction form
    536.39/798.81 = 518.16/x
  3. Step 3: Cross multiply
    536.39x = 798.81 × 518.16
  4. Step 4: Simplify right side
    536.39x = 413,911.39
  5. Step 5: Solve for x
    x = 413,911.39/536.39
  6. Step 6: Final answer
    x = 771.67

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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.