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Finding the Fourth Proportional to 477.94, 717.24 and 169.80

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Solution

The fourth proportional to 477.94, 717.24 and 169.80 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 717.24 = 169.80 : x
  2. Step 2: Convert to fraction form
    477.94/717.24 = 169.80/x
  3. Step 3: Cross multiply
    477.94x = 717.24 × 169.80
  4. Step 4: Simplify right side
    477.94x = 121,787.35
  5. Step 5: Solve for x
    x = 121,787.35/477.94
  6. Step 6: Final answer
    x = 254.82

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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.