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Finding the Fourth Proportional to 603.85, 905.47 and 295.24

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Solution

The fourth proportional to 603.85, 905.47 and 295.24 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.85 : 905.47 = 295.24 : x
  2. Step 2: Convert to fraction form
    603.85/905.47 = 295.24/x
  3. Step 3: Cross multiply
    603.85x = 905.47 × 295.24
  4. Step 4: Simplify right side
    603.85x = 267,329.49
  5. Step 5: Solve for x
    x = 267,329.49/603.85
  6. Step 6: Final answer
    x = 442.71

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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.