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Finding the Fourth Proportional to 603.62, 905.33 and 213.90

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Solution

The fourth proportional to 603.62, 905.33 and 213.90 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.62 : 905.33 = 213.90 : x
  2. Step 2: Convert to fraction form
    603.62/905.33 = 213.90/x
  3. Step 3: Cross multiply
    603.62x = 905.33 × 213.90
  4. Step 4: Simplify right side
    603.62x = 193,649.02
  5. Step 5: Solve for x
    x = 193,649.02/603.62
  6. Step 6: Final answer
    x = 320.82

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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.