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Finding the Fourth Proportional to 600.22, 828.46 and 367.54

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Solution

The fourth proportional to 600.22, 828.46 and 367.54 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 828.46 = 367.54 : x
  2. Step 2: Convert to fraction form
    600.22/828.46 = 367.54/x
  3. Step 3: Cross multiply
    600.22x = 828.46 × 367.54
  4. Step 4: Simplify right side
    600.22x = 304,492.19
  5. Step 5: Solve for x
    x = 304,492.19/600.22
  6. Step 6: Final answer
    x = 507.30

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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.