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Finding the Fourth Proportional to 604.15, 905.76 and 257.27

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Solution

The fourth proportional to 604.15, 905.76 and 257.27 is: 385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.15 : 905.76 = 257.27 : x
  2. Step 2: Convert to fraction form
    604.15/905.76 = 257.27/x
  3. Step 3: Cross multiply
    604.15x = 905.76 × 257.27
  4. Step 4: Simplify right side
    604.15x = 233,020.35
  5. Step 5: Solve for x
    x = 233,020.35/604.15
  6. Step 6: Final answer
    x = 385.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.