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Finding the Fourth Proportional to 603.74, 905.67 and 192.78

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Solution

The fourth proportional to 603.74, 905.67 and 192.78 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.74 : 905.67 = 192.78 : x
  2. Step 2: Convert to fraction form
    603.74/905.67 = 192.78/x
  3. Step 3: Cross multiply
    603.74x = 905.67 × 192.78
  4. Step 4: Simplify right side
    603.74x = 174,595.06
  5. Step 5: Solve for x
    x = 174,595.06/603.74
  6. Step 6: Final answer
    x = 289.19

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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.