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Finding the Fourth Proportional to 477.76, 716.04 and 169.36

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Solution

The fourth proportional to 477.76, 716.04 and 169.36 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 716.04 = 169.36 : x
  2. Step 2: Convert to fraction form
    477.76/716.04 = 169.36/x
  3. Step 3: Cross multiply
    477.76x = 716.04 × 169.36
  4. Step 4: Simplify right side
    477.76x = 121,268.53
  5. Step 5: Solve for x
    x = 121,268.53/477.76
  6. Step 6: Final answer
    x = 253.83

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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.