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Finding the Fourth Proportional to 536.26, 804.40 and 171.08

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Solution

The fourth proportional to 536.26, 804.40 and 171.08 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 804.40 = 171.08 : x
  2. Step 2: Convert to fraction form
    536.26/804.40 = 171.08/x
  3. Step 3: Cross multiply
    536.26x = 804.40 × 171.08
  4. Step 4: Simplify right side
    536.26x = 137,616.75
  5. Step 5: Solve for x
    x = 137,616.75/536.26
  6. Step 6: Final answer
    x = 256.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.