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Finding the Fourth Proportional to 603.55, 905.09 and 257.04

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Solution

The fourth proportional to 603.55, 905.09 and 257.04 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.55 : 905.09 = 257.04 : x
  2. Step 2: Convert to fraction form
    603.55/905.09 = 257.04/x
  3. Step 3: Cross multiply
    603.55x = 905.09 × 257.04
  4. Step 4: Simplify right side
    603.55x = 232,643.05
  5. Step 5: Solve for x
    x = 232,643.05/603.55
  6. Step 6: Final answer
    x = 385.46

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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.