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Finding the Fourth Proportional to 403.64, 605.40 and 129.77

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Solution

The fourth proportional to 403.64, 605.40 and 129.77 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.64 : 605.40 = 129.77 : x
  2. Step 2: Convert to fraction form
    403.64/605.40 = 129.77/x
  3. Step 3: Cross multiply
    403.64x = 605.40 × 129.77
  4. Step 4: Simplify right side
    403.64x = 78,562.76
  5. Step 5: Solve for x
    x = 78,562.76/403.64
  6. Step 6: Final answer
    x = 194.64

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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.