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Finding the Fourth Proportional to 600.68, 828.99 and 338.75

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Solution

The fourth proportional to 600.68, 828.99 and 338.75 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.68 : 828.99 = 338.75 : x
  2. Step 2: Convert to fraction form
    600.68/828.99 = 338.75/x
  3. Step 3: Cross multiply
    600.68x = 828.99 × 338.75
  4. Step 4: Simplify right side
    600.68x = 280,816.22
  5. Step 5: Solve for x
    x = 280,816.22/600.68
  6. Step 6: Final answer
    x = 467.50

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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.