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Finding the Fourth Proportional to 604.10, 905.92 and 257.60

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Solution

The fourth proportional to 604.10, 905.92 and 257.60 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.10 : 905.92 = 257.60 : x
  2. Step 2: Convert to fraction form
    604.10/905.92 = 257.60/x
  3. Step 3: Cross multiply
    604.10x = 905.92 × 257.60
  4. Step 4: Simplify right side
    604.10x = 233,359.17
  5. Step 5: Solve for x
    x = 233,359.17/604.10
  6. Step 6: Final answer
    x = 386.30

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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.