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Finding the Fourth Proportional to 536.22, 804.42 and 228.18

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Solution

The fourth proportional to 536.22, 804.42 and 228.18 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 804.42 = 228.18 : x
  2. Step 2: Convert to fraction form
    536.22/804.42 = 228.18/x
  3. Step 3: Cross multiply
    536.22x = 804.42 × 228.18
  4. Step 4: Simplify right side
    536.22x = 183,552.56
  5. Step 5: Solve for x
    x = 183,552.56/536.22
  6. Step 6: Final answer
    x = 342.31

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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.