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Finding the Fourth Proportional to 596.44, 823.18 and 360.42

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Solution

The fourth proportional to 596.44, 823.18 and 360.42 is: 497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 823.18 = 360.42 : x
  2. Step 2: Convert to fraction form
    596.44/823.18 = 360.42/x
  3. Step 3: Cross multiply
    596.44x = 823.18 × 360.42
  4. Step 4: Simplify right side
    596.44x = 296,687.89
  5. Step 5: Solve for x
    x = 296,687.89/596.44
  6. Step 6: Final answer
    x = 497.43

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Double scale
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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.