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Finding the Fourth Proportional to 601.39, 902.09 and 190.59

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Solution

The fourth proportional to 601.39, 902.09 and 190.59 is: 285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 902.09 = 190.59 : x
  2. Step 2: Convert to fraction form
    601.39/902.09 = 190.59/x
  3. Step 3: Cross multiply
    601.39x = 902.09 × 190.59
  4. Step 4: Simplify right side
    601.39x = 171,929.33
  5. Step 5: Solve for x
    x = 171,929.33/601.39
  6. Step 6: Final answer
    x = 285.89

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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.