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Finding the Fourth Proportional to 536.15, 804.49 and 262.24

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Solution

The fourth proportional to 536.15, 804.49 and 262.24 is: 393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 804.49 = 262.24 : x
  2. Step 2: Convert to fraction form
    536.15/804.49 = 262.24/x
  3. Step 3: Cross multiply
    536.15x = 804.49 × 262.24
  4. Step 4: Simplify right side
    536.15x = 210,968.27
  5. Step 5: Solve for x
    x = 210,968.27/536.15
  6. Step 6: Final answer
    x = 393.49

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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.