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Finding the Fourth Proportional to 536.60, 804.83 and 189.92

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Solution

The fourth proportional to 536.60, 804.83 and 189.92 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 804.83 = 189.92 : x
  2. Step 2: Convert to fraction form
    536.60/804.83 = 189.92/x
  3. Step 3: Cross multiply
    536.60x = 804.83 × 189.92
  4. Step 4: Simplify right side
    536.60x = 152,854.38
  5. Step 5: Solve for x
    x = 152,854.38/536.60
  6. Step 6: Final answer
    x = 284.86

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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.