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Finding the Fourth Proportional to 601.29, 901.94 and 190.42

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Solution

The fourth proportional to 601.29, 901.94 and 190.42 is: 285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 901.94 = 190.42 : x
  2. Step 2: Convert to fraction form
    601.29/901.94 = 190.42/x
  3. Step 3: Cross multiply
    601.29x = 901.94 × 190.42
  4. Step 4: Simplify right side
    601.29x = 171,744.21
  5. Step 5: Solve for x
    x = 171,744.21/601.29
  6. Step 6: Final answer
    x = 285.63

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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.