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Finding the Fourth Proportional to 600.13, 828.26 and 338.23

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Solution

The fourth proportional to 600.13, 828.26 and 338.23 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 828.26 = 338.23 : x
  2. Step 2: Convert to fraction form
    600.13/828.26 = 338.23/x
  3. Step 3: Cross multiply
    600.13x = 828.26 × 338.23
  4. Step 4: Simplify right side
    600.13x = 280,142.38
  5. Step 5: Solve for x
    x = 280,142.38/600.13
  6. Step 6: Final answer
    x = 466.80

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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.