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Finding the Fourth Proportional to 407.80, 611.83 and 119.24

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Solution

The fourth proportional to 407.80, 611.83 and 119.24 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.80 : 611.83 = 119.24 : x
  2. Step 2: Convert to fraction form
    407.80/611.83 = 119.24/x
  3. Step 3: Cross multiply
    407.80x = 611.83 × 119.24
  4. Step 4: Simplify right side
    407.80x = 72,950.95
  5. Step 5: Solve for x
    x = 72,950.95/407.80
  6. Step 6: Final answer
    x = 178.89

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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.