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Finding the Fourth Proportional to 596.12, 894.20 and 288.09

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Solution

The fourth proportional to 596.12, 894.20 and 288.09 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 894.20 = 288.09 : x
  2. Step 2: Convert to fraction form
    596.12/894.20 = 288.09/x
  3. Step 3: Cross multiply
    596.12x = 894.20 × 288.09
  4. Step 4: Simplify right side
    596.12x = 257,608.64
  5. Step 5: Solve for x
    x = 257,608.64/596.12
  6. Step 6: Final answer
    x = 432.15

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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.