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Finding the Fourth Proportional to 596.15, 894.26 and 206.19

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Solution

The fourth proportional to 596.15, 894.26 and 206.19 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.15 : 894.26 = 206.19 : x
  2. Step 2: Convert to fraction form
    596.15/894.26 = 206.19/x
  3. Step 3: Cross multiply
    596.15x = 894.26 × 206.19
  4. Step 4: Simplify right side
    596.15x = 184,382.48
  5. Step 5: Solve for x
    x = 184,382.48/596.15
  6. Step 6: Final answer
    x = 309.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.