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Finding the Fourth Proportional to 603.15, 905.02 and 472.33

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Solution

The fourth proportional to 603.15, 905.02 and 472.33 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 905.02 = 472.33 : x
  2. Step 2: Convert to fraction form
    603.15/905.02 = 472.33/x
  3. Step 3: Cross multiply
    603.15x = 905.02 × 472.33
  4. Step 4: Simplify right side
    603.15x = 427,468.10
  5. Step 5: Solve for x
    x = 427,468.10/603.15
  6. Step 6: Final answer
    x = 708.73

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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.