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Finding the Fourth Proportional to 603.56, 905.70 and 274.73

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Solution

The fourth proportional to 603.56, 905.70 and 274.73 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.56 : 905.70 = 274.73 : x
  2. Step 2: Convert to fraction form
    603.56/905.70 = 274.73/x
  3. Step 3: Cross multiply
    603.56x = 905.70 × 274.73
  4. Step 4: Simplify right side
    603.56x = 248,822.96
  5. Step 5: Solve for x
    x = 248,822.96/603.56
  6. Step 6: Final answer
    x = 412.26

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Why These Related Problems?

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