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Finding the Fourth Proportional to 536.84, 804.23 and 262.78

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Solution

The fourth proportional to 536.84, 804.23 and 262.78 is: 393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 804.23 = 262.78 : x
  2. Step 2: Convert to fraction form
    536.84/804.23 = 262.78/x
  3. Step 3: Cross multiply
    536.84x = 804.23 × 262.78
  4. Step 4: Simplify right side
    536.84x = 211,335.56
  5. Step 5: Solve for x
    x = 211,335.56/536.84
  6. Step 6: Final answer
    x = 393.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.