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Finding the Fourth Proportional to 596.25, 894.43 and 206.20

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Solution

The fourth proportional to 596.25, 894.43 and 206.20 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 894.43 = 206.20 : x
  2. Step 2: Convert to fraction form
    596.25/894.43 = 206.20/x
  3. Step 3: Cross multiply
    596.25x = 894.43 × 206.20
  4. Step 4: Simplify right side
    596.25x = 184,431.47
  5. Step 5: Solve for x
    x = 184,431.47/596.25
  6. Step 6: Final answer
    x = 309.32

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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.