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Finding the Fourth Proportional to 603.14, 902.55 and 371.84

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Solution

The fourth proportional to 603.14, 902.55 and 371.84 is: 556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 902.55 = 371.84 : x
  2. Step 2: Convert to fraction form
    603.14/902.55 = 371.84/x
  3. Step 3: Cross multiply
    603.14x = 902.55 × 371.84
  4. Step 4: Simplify right side
    603.14x = 335,604.19
  5. Step 5: Solve for x
    x = 335,604.19/603.14
  6. Step 6: Final answer
    x = 556.43

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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.