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Finding the Fourth Proportional to 600.12, 828.12 and 338.16

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Solution

The fourth proportional to 600.12, 828.12 and 338.16 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 828.12 = 338.16 : x
  2. Step 2: Convert to fraction form
    600.12/828.12 = 338.16/x
  3. Step 3: Cross multiply
    600.12x = 828.12 × 338.16
  4. Step 4: Simplify right side
    600.12x = 280,037.06
  5. Step 5: Solve for x
    x = 280,037.06/600.12
  6. Step 6: Final answer
    x = 466.64

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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.