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Finding the Fourth Proportional to 596.18, 894.81 and 422.91

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Solution

The fourth proportional to 596.18, 894.81 and 422.91 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 894.81 = 422.91 : x
  2. Step 2: Convert to fraction form
    596.18/894.81 = 422.91/x
  3. Step 3: Cross multiply
    596.18x = 894.81 × 422.91
  4. Step 4: Simplify right side
    596.18x = 378,424.10
  5. Step 5: Solve for x
    x = 378,424.10/596.18
  6. Step 6: Final answer
    x = 634.75

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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.