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Finding the Fourth Proportional to 407.94, 610.74 and 234.29

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Solution

The fourth proportional to 407.94, 610.74 and 234.29 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.94 : 610.74 = 234.29 : x
  2. Step 2: Convert to fraction form
    407.94/610.74 = 234.29/x
  3. Step 3: Cross multiply
    407.94x = 610.74 × 234.29
  4. Step 4: Simplify right side
    407.94x = 143,091.80
  5. Step 5: Solve for x
    x = 143,091.80/407.94
  6. Step 6: Final answer
    x = 350.77

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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.