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Finding the Fourth Proportional to 403.63, 605.52 and 129.81

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Solution

The fourth proportional to 403.63, 605.52 and 129.81 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 605.52 = 129.81 : x
  2. Step 2: Convert to fraction form
    403.63/605.52 = 129.81/x
  3. Step 3: Cross multiply
    403.63x = 605.52 × 129.81
  4. Step 4: Simplify right side
    403.63x = 78,602.55
  5. Step 5: Solve for x
    x = 78,602.55/403.63
  6. Step 6: Final answer
    x = 194.74

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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.