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Finding the Fourth Proportional to 536.33, 804.49 and 171.15

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Solution

The fourth proportional to 536.33, 804.49 and 171.15 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.33 : 804.49 = 171.15 : x
  2. Step 2: Convert to fraction form
    536.33/804.49 = 171.15/x
  3. Step 3: Cross multiply
    536.33x = 804.49 × 171.15
  4. Step 4: Simplify right side
    536.33x = 137,688.46
  5. Step 5: Solve for x
    x = 137,688.46/536.33
  6. Step 6: Final answer
    x = 256.72

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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.