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Finding the Fourth Proportional to 617.22, 846.36 and 596.52

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Solution

The fourth proportional to 617.22, 846.36 and 596.52 is: 817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 846.36 = 596.52 : x
  2. Step 2: Convert to fraction form
    617.22/846.36 = 596.52/x
  3. Step 3: Cross multiply
    617.22x = 846.36 × 596.52
  4. Step 4: Simplify right side
    617.22x = 504,870.67
  5. Step 5: Solve for x
    x = 504,870.67/617.22
  6. Step 6: Final answer
    x = 817.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.