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Finding the Fourth Proportional to 402.94, 604.51 and 171.71

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Solution

The fourth proportional to 402.94, 604.51 and 171.71 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 604.51 = 171.71 : x
  2. Step 2: Convert to fraction form
    402.94/604.51 = 171.71/x
  3. Step 3: Cross multiply
    402.94x = 604.51 × 171.71
  4. Step 4: Simplify right side
    402.94x = 103,799.23
  5. Step 5: Solve for x
    x = 103,799.23/402.94
  6. Step 6: Final answer
    x = 257.61

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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.