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Finding the Fourth Proportional to 603.93, 905.89 and 171.09

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Solution

The fourth proportional to 603.93, 905.89 and 171.09 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.93 : 905.89 = 171.09 : x
  2. Step 2: Convert to fraction form
    603.93/905.89 = 171.09/x
  3. Step 3: Cross multiply
    603.93x = 905.89 × 171.09
  4. Step 4: Simplify right side
    603.93x = 154,983.76
  5. Step 5: Solve for x
    x = 154,983.76/603.93
  6. Step 6: Final answer
    x = 256.63

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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.