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Finding the Fourth Proportional to 596.34, 893.82 and 303.56

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Solution

The fourth proportional to 596.34, 893.82 and 303.56 is: 454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 893.82 = 303.56 : x
  2. Step 2: Convert to fraction form
    596.34/893.82 = 303.56/x
  3. Step 3: Cross multiply
    596.34x = 893.82 × 303.56
  4. Step 4: Simplify right side
    596.34x = 271,328.00
  5. Step 5: Solve for x
    x = 271,328.00/596.34
  6. Step 6: Final answer
    x = 454.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.