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Finding the Fourth Proportional to 603.54, 905.30 and 512.87

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Solution

The fourth proportional to 603.54, 905.30 and 512.87 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 905.30 = 512.87 : x
  2. Step 2: Convert to fraction form
    603.54/905.30 = 512.87/x
  3. Step 3: Cross multiply
    603.54x = 905.30 × 512.87
  4. Step 4: Simplify right side
    603.54x = 464,294.12
  5. Step 5: Solve for x
    x = 464,294.12/603.54
  6. Step 6: Final answer
    x = 769.28

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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.