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Finding the Fourth Proportional to 536.53, 804.37 and 212.14

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Solution

The fourth proportional to 536.53, 804.37 and 212.14 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.53 : 804.37 = 212.14 : x
  2. Step 2: Convert to fraction form
    536.53/804.37 = 212.14/x
  3. Step 3: Cross multiply
    536.53x = 804.37 × 212.14
  4. Step 4: Simplify right side
    536.53x = 170,633.97
  5. Step 5: Solve for x
    x = 170,633.97/536.53
  6. Step 6: Final answer
    x = 318.04

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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.