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Finding the Fourth Proportional to 536.73, 804.61 and 189.78

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Solution

The fourth proportional to 536.73, 804.61 and 189.78 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.73 : 804.61 = 189.78 : x
  2. Step 2: Convert to fraction form
    536.73/804.61 = 189.78/x
  3. Step 3: Cross multiply
    536.73x = 804.61 × 189.78
  4. Step 4: Simplify right side
    536.73x = 152,698.89
  5. Step 5: Solve for x
    x = 152,698.89/536.73
  6. Step 6: Final answer
    x = 284.50

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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.