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Finding the Fourth Proportional to 599.49, 827.60 and 422.84

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Solution

The fourth proportional to 599.49, 827.60 and 422.84 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 827.60 = 422.84 : x
  2. Step 2: Convert to fraction form
    599.49/827.60 = 422.84/x
  3. Step 3: Cross multiply
    599.49x = 827.60 × 422.84
  4. Step 4: Simplify right side
    599.49x = 349,942.34
  5. Step 5: Solve for x
    x = 349,942.34/599.49
  6. Step 6: Final answer
    x = 583.73

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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.