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Finding the Fourth Proportional to 596.72, 823.50 and 422.12

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Solution

The fourth proportional to 596.72, 823.50 and 422.12 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 823.50 = 422.12 : x
  2. Step 2: Convert to fraction form
    596.72/823.50 = 422.12/x
  3. Step 3: Cross multiply
    596.72x = 823.50 × 422.12
  4. Step 4: Simplify right side
    596.72x = 347,615.82
  5. Step 5: Solve for x
    x = 347,615.82/596.72
  6. Step 6: Final answer
    x = 582.54

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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.