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Finding the Fourth Proportional to 600.08, 828.20 and 367.44

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Solution

The fourth proportional to 600.08, 828.20 and 367.44 is: 507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 828.20 = 367.44 : x
  2. Step 2: Convert to fraction form
    600.08/828.20 = 367.44/x
  3. Step 3: Cross multiply
    600.08x = 828.20 × 367.44
  4. Step 4: Simplify right side
    600.08x = 304,313.81
  5. Step 5: Solve for x
    x = 304,313.81/600.08
  6. Step 6: Final answer
    x = 507.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.