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Finding the Fourth Proportional to 596.25, 894.42 and 211.50

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Solution

The fourth proportional to 596.25, 894.42 and 211.50 is: 317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 894.42 = 211.50 : x
  2. Step 2: Convert to fraction form
    596.25/894.42 = 211.50/x
  3. Step 3: Cross multiply
    596.25x = 894.42 × 211.50
  4. Step 4: Simplify right side
    596.25x = 189,169.83
  5. Step 5: Solve for x
    x = 189,169.83/596.25
  6. Step 6: Final answer
    x = 317.27

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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.