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Finding the Fourth Proportional to 536.76, 804.20 and 262.49

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Solution

The fourth proportional to 536.76, 804.20 and 262.49 is: 393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 804.20 = 262.49 : x
  2. Step 2: Convert to fraction form
    536.76/804.20 = 262.49/x
  3. Step 3: Cross multiply
    536.76x = 804.20 × 262.49
  4. Step 4: Simplify right side
    536.76x = 211,089.12
  5. Step 5: Solve for x
    x = 211,089.12/536.76
  6. Step 6: Final answer
    x = 393.27

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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.