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Finding the Fourth Proportional to 603.96, 905.85 and 193.15

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Solution

The fourth proportional to 603.96, 905.85 and 193.15 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.96 : 905.85 = 193.15 : x
  2. Step 2: Convert to fraction form
    603.96/905.85 = 193.15/x
  3. Step 3: Cross multiply
    603.96x = 905.85 × 193.15
  4. Step 4: Simplify right side
    603.96x = 174,966.06
  5. Step 5: Solve for x
    x = 174,966.06/603.96
  6. Step 6: Final answer
    x = 289.70

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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.