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Finding the Fourth Proportional to 536.64, 804.96 and 171.44

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Solution

The fourth proportional to 536.64, 804.96 and 171.44 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 804.96 = 171.44 : x
  2. Step 2: Convert to fraction form
    536.64/804.96 = 171.44/x
  3. Step 3: Cross multiply
    536.64x = 804.96 × 171.44
  4. Step 4: Simplify right side
    536.64x = 138,002.34
  5. Step 5: Solve for x
    x = 138,002.34/536.64
  6. Step 6: Final answer
    x = 257.16

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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.