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Finding the Fourth Proportional to 536.22, 804.34 and 189.55

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Solution

The fourth proportional to 536.22, 804.34 and 189.55 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 804.34 = 189.55 : x
  2. Step 2: Convert to fraction form
    536.22/804.34 = 189.55/x
  3. Step 3: Cross multiply
    536.22x = 804.34 × 189.55
  4. Step 4: Simplify right side
    536.22x = 152,457.68
  5. Step 5: Solve for x
    x = 152,457.68/536.22
  6. Step 6: Final answer
    x = 284.32

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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.