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Finding the Fourth Proportional to 600.22, 828.12 and 364.06

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Solution

The fourth proportional to 600.22, 828.12 and 364.06 is: 502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 828.12 = 364.06 : x
  2. Step 2: Convert to fraction form
    600.22/828.12 = 364.06/x
  3. Step 3: Cross multiply
    600.22x = 828.12 × 364.06
  4. Step 4: Simplify right side
    600.22x = 301,485.37
  5. Step 5: Solve for x
    x = 301,485.37/600.22
  6. Step 6: Final answer
    x = 502.29

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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.