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Finding the Fourth Proportional to 536.27, 804.63 and 228.27

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Solution

The fourth proportional to 536.27, 804.63 and 228.27 is: 342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.27 : 804.63 = 228.27 : x
  2. Step 2: Convert to fraction form
    536.27/804.63 = 228.27/x
  3. Step 3: Cross multiply
    536.27x = 804.63 × 228.27
  4. Step 4: Simplify right side
    536.27x = 183,672.24
  5. Step 5: Solve for x
    x = 183,672.24/536.27
  6. Step 6: Final answer
    x = 342.50

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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.