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Finding the Fourth Proportional to 536.80, 805.24 and 262.82

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Solution

The fourth proportional to 536.80, 805.24 and 262.82 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 805.24 = 262.82 : x
  2. Step 2: Convert to fraction form
    536.80/805.24 = 262.82/x
  3. Step 3: Cross multiply
    536.80x = 805.24 × 262.82
  4. Step 4: Simplify right side
    536.80x = 211,633.25
  5. Step 5: Solve for x
    x = 211,633.25/536.80
  6. Step 6: Final answer
    x = 394.25

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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.