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Finding the Fourth Proportional to 536.24, 804.56 and 228.32

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Solution

The fourth proportional to 536.24, 804.56 and 228.32 is: 342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 804.56 = 228.32 : x
  2. Step 2: Convert to fraction form
    536.24/804.56 = 228.32/x
  3. Step 3: Cross multiply
    536.24x = 804.56 × 228.32
  4. Step 4: Simplify right side
    536.24x = 183,697.14
  5. Step 5: Solve for x
    x = 183,697.14/536.24
  6. Step 6: Final answer
    x = 342.57

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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.