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Finding the Fourth Proportional to 604.54, 906.84 and 257.92

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Solution

The fourth proportional to 604.54, 906.84 and 257.92 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 906.84 = 257.92 : x
  2. Step 2: Convert to fraction form
    604.54/906.84 = 257.92/x
  3. Step 3: Cross multiply
    604.54x = 906.84 × 257.92
  4. Step 4: Simplify right side
    604.54x = 233,892.17
  5. Step 5: Solve for x
    x = 233,892.17/604.54
  6. Step 6: Final answer
    x = 386.89

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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.