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Finding the Fourth Proportional to 334.52, 501.47 and 171.71

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Solution

The fourth proportional to 334.52, 501.47 and 171.71 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.52 : 501.47 = 171.71 : x
  2. Step 2: Convert to fraction form
    334.52/501.47 = 171.71/x
  3. Step 3: Cross multiply
    334.52x = 501.47 × 171.71
  4. Step 4: Simplify right side
    334.52x = 86,107.41
  5. Step 5: Solve for x
    x = 86,107.41/334.52
  6. Step 6: Final answer
    x = 257.41

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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.