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Finding the Fourth Proportional to 536.04, 804.17 and 206.97

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Solution

The fourth proportional to 536.04, 804.17 and 206.97 is: 310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 804.17 = 206.97 : x
  2. Step 2: Convert to fraction form
    536.04/804.17 = 206.97/x
  3. Step 3: Cross multiply
    536.04x = 804.17 × 206.97
  4. Step 4: Simplify right side
    536.04x = 166,439.06
  5. Step 5: Solve for x
    x = 166,439.06/536.04
  6. Step 6: Final answer
    x = 310.50

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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.