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Finding the Fourth Proportional to 603.74, 905.65 and 192.87

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Solution

The fourth proportional to 603.74, 905.65 and 192.87 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.74 : 905.65 = 192.87 : x
  2. Step 2: Convert to fraction form
    603.74/905.65 = 192.87/x
  3. Step 3: Cross multiply
    603.74x = 905.65 × 192.87
  4. Step 4: Simplify right side
    603.74x = 174,672.23
  5. Step 5: Solve for x
    x = 174,672.23/603.74
  6. Step 6: Final answer
    x = 289.32

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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.