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Finding the Fourth Proportional to 596.13, 894.06 and 185.04

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Solution

The fourth proportional to 596.13, 894.06 and 185.04 is: 277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.13 : 894.06 = 185.04 : x
  2. Step 2: Convert to fraction form
    596.13/894.06 = 185.04/x
  3. Step 3: Cross multiply
    596.13x = 894.06 × 185.04
  4. Step 4: Simplify right side
    596.13x = 165,436.86
  5. Step 5: Solve for x
    x = 165,436.86/596.13
  6. Step 6: Final answer
    x = 277.52

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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.