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Finding the Fourth Proportional to 600.30, 827.67 and 378.90

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Solution

The fourth proportional to 600.30, 827.67 and 378.90 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 827.67 = 378.90 : x
  2. Step 2: Convert to fraction form
    600.30/827.67 = 378.90/x
  3. Step 3: Cross multiply
    600.30x = 827.67 × 378.90
  4. Step 4: Simplify right side
    600.30x = 313,604.16
  5. Step 5: Solve for x
    x = 313,604.16/600.30
  6. Step 6: Final answer
    x = 522.41

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1.5x scale

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.