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Finding the Fourth Proportional to 596.32, 894.15 and 206.11

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Solution

The fourth proportional to 596.32, 894.15 and 206.11 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 894.15 = 206.11 : x
  2. Step 2: Convert to fraction form
    596.32/894.15 = 206.11/x
  3. Step 3: Cross multiply
    596.32x = 894.15 × 206.11
  4. Step 4: Simplify right side
    596.32x = 184,293.26
  5. Step 5: Solve for x
    x = 184,293.26/596.32
  6. Step 6: Final answer
    x = 309.05

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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.