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Finding the Fourth Proportional to 600.01, 827.52 and 378.88

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Solution

The fourth proportional to 600.01, 827.52 and 378.88 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.01 : 827.52 = 378.88 : x
  2. Step 2: Convert to fraction form
    600.01/827.52 = 378.88/x
  3. Step 3: Cross multiply
    600.01x = 827.52 × 378.88
  4. Step 4: Simplify right side
    600.01x = 313,527.29
  5. Step 5: Solve for x
    x = 313,527.29/600.01
  6. Step 6: Final answer
    x = 522.54

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