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Finding the Fourth Proportional to 536.42, 804.63 and 171.21

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Solution

The fourth proportional to 536.42, 804.63 and 171.21 is: 256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 804.63 = 171.21 : x
  2. Step 2: Convert to fraction form
    536.42/804.63 = 171.21/x
  3. Step 3: Cross multiply
    536.42x = 804.63 × 171.21
  4. Step 4: Simplify right side
    536.42x = 137,760.38
  5. Step 5: Solve for x
    x = 137,760.38/536.42
  6. Step 6: Final answer
    x = 256.81

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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.