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Finding the Fourth Proportional to 536.50, 804.87 and 189.83

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Solution

The fourth proportional to 536.50, 804.87 and 189.83 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.50 : 804.87 = 189.83 : x
  2. Step 2: Convert to fraction form
    536.50/804.87 = 189.83/x
  3. Step 3: Cross multiply
    536.50x = 804.87 × 189.83
  4. Step 4: Simplify right side
    536.50x = 152,790.48
  5. Step 5: Solve for x
    x = 152,790.48/536.50
  6. Step 6: Final answer
    x = 284.79

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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.