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Finding the Fourth Proportional to 604.54, 906.45 and 257.82

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Solution

The fourth proportional to 604.54, 906.45 and 257.82 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 906.45 = 257.82 : x
  2. Step 2: Convert to fraction form
    604.54/906.45 = 257.82/x
  3. Step 3: Cross multiply
    604.54x = 906.45 × 257.82
  4. Step 4: Simplify right side
    604.54x = 233,700.94
  5. Step 5: Solve for x
    x = 233,700.94/604.54
  6. Step 6: Final answer
    x = 386.58

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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.