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Finding the Fourth Proportional to 536.78, 805.23 and 262.64

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Solution

The fourth proportional to 536.78, 805.23 and 262.64 is: 393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 805.23 = 262.64 : x
  2. Step 2: Convert to fraction form
    536.78/805.23 = 262.64/x
  3. Step 3: Cross multiply
    536.78x = 805.23 × 262.64
  4. Step 4: Simplify right side
    536.78x = 211,481.58
  5. Step 5: Solve for x
    x = 211,481.58/536.78
  6. Step 6: Final answer
    x = 393.99

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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.