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Finding the Fourth Proportional to 603.87, 905.78 and 353.85

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Solution

The fourth proportional to 603.87, 905.78 and 353.85 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.87 : 905.78 = 353.85 : x
  2. Step 2: Convert to fraction form
    603.87/905.78 = 353.85/x
  3. Step 3: Cross multiply
    603.87x = 905.78 × 353.85
  4. Step 4: Simplify right side
    603.87x = 320,508.02
  5. Step 5: Solve for x
    x = 320,508.02/603.87
  6. Step 6: Final answer
    x = 530.76

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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.