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Finding the Fourth Proportional to 536.37, 804.45 and 189.69

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Solution

The fourth proportional to 536.37, 804.45 and 189.69 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.37 : 804.45 = 189.69 : x
  2. Step 2: Convert to fraction form
    536.37/804.45 = 189.69/x
  3. Step 3: Cross multiply
    536.37x = 804.45 × 189.69
  4. Step 4: Simplify right side
    536.37x = 152,596.12
  5. Step 5: Solve for x
    x = 152,596.12/536.37
  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.