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Finding the Fourth Proportional to 596.20, 894.36 and 206.15

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Solution

The fourth proportional to 596.20, 894.36 and 206.15 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 894.36 = 206.15 : x
  2. Step 2: Convert to fraction form
    596.20/894.36 = 206.15/x
  3. Step 3: Cross multiply
    596.20x = 894.36 × 206.15
  4. Step 4: Simplify right side
    596.20x = 184,372.31
  5. Step 5: Solve for x
    x = 184,372.31/596.20
  6. Step 6: Final answer
    x = 309.25

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Why These Related Problems?

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