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Finding the Fourth Proportional to 599.28, 827.33 and 412.44

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Solution

The fourth proportional to 599.28, 827.33 and 412.44 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 827.33 = 412.44 : x
  2. Step 2: Convert to fraction form
    599.28/827.33 = 412.44/x
  3. Step 3: Cross multiply
    599.28x = 827.33 × 412.44
  4. Step 4: Simplify right side
    599.28x = 341,221.92
  5. Step 5: Solve for x
    x = 341,221.92/599.28
  6. Step 6: Final answer
    x = 569.39

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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.