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Finding the Fourth Proportional to 477.94, 716.85 and 169.75

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Solution

The fourth proportional to 477.94, 716.85 and 169.75 is: 254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 716.85 = 169.75 : x
  2. Step 2: Convert to fraction form
    477.94/716.85 = 169.75/x
  3. Step 3: Cross multiply
    477.94x = 716.85 × 169.75
  4. Step 4: Simplify right side
    477.94x = 121,686.69
  5. Step 5: Solve for x
    x = 121,686.69/477.94
  6. Step 6: Final answer
    x = 254.60

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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.