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Finding the Fourth Proportional to 596.26, 821.97 and 418.66

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Solution

The fourth proportional to 596.26, 821.97 and 418.66 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 821.97 = 418.66 : x
  2. Step 2: Convert to fraction form
    596.26/821.97 = 418.66/x
  3. Step 3: Cross multiply
    596.26x = 821.97 × 418.66
  4. Step 4: Simplify right side
    596.26x = 344,125.96
  5. Step 5: Solve for x
    x = 344,125.96/596.26
  6. Step 6: Final answer
    x = 577.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.