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Finding the Fourth Proportional to 596.31, 893.96 and 414.06

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Solution

The fourth proportional to 596.31, 893.96 and 414.06 is: 620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.31 : 893.96 = 414.06 : x
  2. Step 2: Convert to fraction form
    596.31/893.96 = 414.06/x
  3. Step 3: Cross multiply
    596.31x = 893.96 × 414.06
  4. Step 4: Simplify right side
    596.31x = 370,153.08
  5. Step 5: Solve for x
    x = 370,153.08/596.31
  6. Step 6: Final answer
    x = 620.74

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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.