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Finding the Fourth Proportional to 604.49, 906.78 and 171.65

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Solution

The fourth proportional to 604.49, 906.78 and 171.65 is: 257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 906.78 = 171.65 : x
  2. Step 2: Convert to fraction form
    604.49/906.78 = 171.65/x
  3. Step 3: Cross multiply
    604.49x = 906.78 × 171.65
  4. Step 4: Simplify right side
    604.49x = 155,644.25
  5. Step 5: Solve for x
    x = 155,644.25/604.49
  6. Step 6: Final answer
    x = 257.48

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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.