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Finding the Fourth Proportional to 600.76, 829.07 and 338.84

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Solution

The fourth proportional to 600.76, 829.07 and 338.84 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 829.07 = 338.84 : x
  2. Step 2: Convert to fraction form
    600.76/829.07 = 338.84/x
  3. Step 3: Cross multiply
    600.76x = 829.07 × 338.84
  4. Step 4: Simplify right side
    600.76x = 280,922.08
  5. Step 5: Solve for x
    x = 280,922.08/600.76
  6. Step 6: Final answer
    x = 467.61

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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.