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Finding the Fourth Proportional to 536.33, 804.21 and 189.63

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Solution

The fourth proportional to 536.33, 804.21 and 189.63 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.33 : 804.21 = 189.63 : x
  2. Step 2: Convert to fraction form
    536.33/804.21 = 189.63/x
  3. Step 3: Cross multiply
    536.33x = 804.21 × 189.63
  4. Step 4: Simplify right side
    536.33x = 152,502.34
  5. Step 5: Solve for x
    x = 152,502.34/536.33
  6. Step 6: Final answer
    x = 284.35

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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.