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Finding the Fourth Proportional to 536.43, 805.23 and 320.46

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Solution

The fourth proportional to 536.43, 805.23 and 320.46 is: 481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.43 : 805.23 = 320.46 : x
  2. Step 2: Convert to fraction form
    536.43/805.23 = 320.46/x
  3. Step 3: Cross multiply
    536.43x = 805.23 × 320.46
  4. Step 4: Simplify right side
    536.43x = 258,044.01
  5. Step 5: Solve for x
    x = 258,044.01/536.43
  6. Step 6: Final answer
    x = 481.04

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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.