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Finding the Fourth Proportional to 604.27, 905.55 and 257.14

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Solution

The fourth proportional to 604.27, 905.55 and 257.14 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 905.55 = 257.14 : x
  2. Step 2: Convert to fraction form
    604.27/905.55 = 257.14/x
  3. Step 3: Cross multiply
    604.27x = 905.55 × 257.14
  4. Step 4: Simplify right side
    604.27x = 232,853.13
  5. Step 5: Solve for x
    x = 232,853.13/604.27
  6. Step 6: Final answer
    x = 385.35

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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.