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Finding the Fourth Proportional to 596.21, 893.58 and 335.80

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Solution

The fourth proportional to 596.21, 893.58 and 335.80 is: 503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 893.58 = 335.80 : x
  2. Step 2: Convert to fraction form
    596.21/893.58 = 335.80/x
  3. Step 3: Cross multiply
    596.21x = 893.58 × 335.80
  4. Step 4: Simplify right side
    596.21x = 300,060.88
  5. Step 5: Solve for x
    x = 300,060.88/596.21
  6. Step 6: Final answer
    x = 503.28

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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.