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Finding the Fourth Proportional to 600.07, 827.73 and 378.85

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Solution

The fourth proportional to 600.07, 827.73 and 378.85 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 827.73 = 378.85 : x
  2. Step 2: Convert to fraction form
    600.07/827.73 = 378.85/x
  3. Step 3: Cross multiply
    600.07x = 827.73 × 378.85
  4. Step 4: Simplify right side
    600.07x = 313,585.51
  5. Step 5: Solve for x
    x = 313,585.51/600.07
  6. Step 6: Final answer
    x = 522.58

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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.