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Finding the Fourth Proportional to 536.97, 804.84 and 228.63

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Solution

The fourth proportional to 536.97, 804.84 and 228.63 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.97 : 804.84 = 228.63 : x
  2. Step 2: Convert to fraction form
    536.97/804.84 = 228.63/x
  3. Step 3: Cross multiply
    536.97x = 804.84 × 228.63
  4. Step 4: Simplify right side
    536.97x = 184,010.57
  5. Step 5: Solve for x
    x = 184,010.57/536.97
  6. Step 6: Final answer
    x = 342.68

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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.