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Finding the Fourth Proportional to 600.28, 827.83 and 460.13

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Solution

The fourth proportional to 600.28, 827.83 and 460.13 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.28 : 827.83 = 460.13 : x
  2. Step 2: Convert to fraction form
    600.28/827.83 = 460.13/x
  3. Step 3: Cross multiply
    600.28x = 827.83 × 460.13
  4. Step 4: Simplify right side
    600.28x = 380,910.34
  5. Step 5: Solve for x
    x = 380,910.34/600.28
  6. Step 6: Final answer
    x = 634.56

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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.