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Finding the Fourth Proportional to 536.48, 804.10 and 227.86

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Solution

The fourth proportional to 536.48, 804.10 and 227.86 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.48 : 804.10 = 227.86 : x
  2. Step 2: Convert to fraction form
    536.48/804.10 = 227.86/x
  3. Step 3: Cross multiply
    536.48x = 804.10 × 227.86
  4. Step 4: Simplify right side
    536.48x = 183,222.23
  5. Step 5: Solve for x
    x = 183,222.23/536.48
  6. Step 6: Final answer
    x = 341.53

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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.