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Finding the Fourth Proportional to 603.95, 905.83 and 192.98

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Solution

The fourth proportional to 603.95, 905.83 and 192.98 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.95 : 905.83 = 192.98 : x
  2. Step 2: Convert to fraction form
    603.95/905.83 = 192.98/x
  3. Step 3: Cross multiply
    603.95x = 905.83 × 192.98
  4. Step 4: Simplify right side
    603.95x = 174,801.58
  5. Step 5: Solve for x
    x = 174,801.58/603.95
  6. Step 6: Final answer
    x = 289.43

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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.