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Finding the Fourth Proportional to 477.73, 716.47 and 169.50

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Solution

The fourth proportional to 477.73, 716.47 and 169.50 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 716.47 = 169.50 : x
  2. Step 2: Convert to fraction form
    477.73/716.47 = 169.50/x
  3. Step 3: Cross multiply
    477.73x = 716.47 × 169.50
  4. Step 4: Simplify right side
    477.73x = 121,441.67
  5. Step 5: Solve for x
    x = 121,441.67/477.73
  6. Step 6: Final answer
    x = 254.21

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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.