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Finding the Fourth Proportional to 536.58, 804.99 and 224.16

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Solution

The fourth proportional to 536.58, 804.99 and 224.16 is: 336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 804.99 = 224.16 : x
  2. Step 2: Convert to fraction form
    536.58/804.99 = 224.16/x
  3. Step 3: Cross multiply
    536.58x = 804.99 × 224.16
  4. Step 4: Simplify right side
    536.58x = 180,446.56
  5. Step 5: Solve for x
    x = 180,446.56/536.58
  6. Step 6: Final answer
    x = 336.29

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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.