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Finding the Fourth Proportional to 407.86, 611.78 and 119.29

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Solution

The fourth proportional to 407.86, 611.78 and 119.29 is: 178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 611.78 = 119.29 : x
  2. Step 2: Convert to fraction form
    407.86/611.78 = 119.29/x
  3. Step 3: Cross multiply
    407.86x = 611.78 × 119.29
  4. Step 4: Simplify right side
    407.86x = 72,979.24
  5. Step 5: Solve for x
    x = 72,979.24/407.86
  6. Step 6: Final answer
    x = 178.93

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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.