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Finding the Fourth Proportional to 603.36, 905.04 and 208.08

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Solution

The fourth proportional to 603.36, 905.04 and 208.08 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 905.04 = 208.08 : x
  2. Step 2: Convert to fraction form
    603.36/905.04 = 208.08/x
  3. Step 3: Cross multiply
    603.36x = 905.04 × 208.08
  4. Step 4: Simplify right side
    603.36x = 188,320.72
  5. Step 5: Solve for x
    x = 188,320.72/603.36
  6. Step 6: Final answer
    x = 312.12

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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.