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Finding the Fourth Proportional to 596.02, 894.17 and 185.17

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Solution

The fourth proportional to 596.02, 894.17 and 185.17 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.02 : 894.17 = 185.17 : x
  2. Step 2: Convert to fraction form
    596.02/894.17 = 185.17/x
  3. Step 3: Cross multiply
    596.02x = 894.17 × 185.17
  4. Step 4: Simplify right side
    596.02x = 165,572.53
  5. Step 5: Solve for x
    x = 165,572.53/596.02
  6. Step 6: Final answer
    x = 277.80

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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.