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Finding the Fourth Proportional to 600.13, 828.17 and 338.14

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Solution

The fourth proportional to 600.13, 828.17 and 338.14 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 828.17 = 338.14 : x
  2. Step 2: Convert to fraction form
    600.13/828.17 = 338.14/x
  3. Step 3: Cross multiply
    600.13x = 828.17 × 338.14
  4. Step 4: Simplify right side
    600.13x = 280,037.40
  5. Step 5: Solve for x
    x = 280,037.40/600.13
  6. Step 6: Final answer
    x = 466.63

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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.