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Finding the Fourth Proportional to 477.41, 716.06 and 169.23

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Solution

The fourth proportional to 477.41, 716.06 and 169.23 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.41 : 716.06 = 169.23 : x
  2. Step 2: Convert to fraction form
    477.41/716.06 = 169.23/x
  3. Step 3: Cross multiply
    477.41x = 716.06 × 169.23
  4. Step 4: Simplify right side
    477.41x = 121,178.83
  5. Step 5: Solve for x
    x = 121,178.83/477.41
  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.