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Finding the Fourth Proportional to 596.27, 823.17 and 360.26

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Solution

The fourth proportional to 596.27, 823.17 and 360.26 is: 497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.27 : 823.17 = 360.26 : x
  2. Step 2: Convert to fraction form
    596.27/823.17 = 360.26/x
  3. Step 3: Cross multiply
    596.27x = 823.17 × 360.26
  4. Step 4: Simplify right side
    596.27x = 296,551.11
  5. Step 5: Solve for x
    x = 296,551.11/596.27
  6. Step 6: Final answer
    x = 497.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.