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Finding the Fourth Proportional to 407.67, 611.03 and 234.47

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Solution

The fourth proportional to 407.67, 611.03 and 234.47 is: 351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.67 : 611.03 = 234.47 : x
  2. Step 2: Convert to fraction form
    407.67/611.03 = 234.47/x
  3. Step 3: Cross multiply
    407.67x = 611.03 × 234.47
  4. Step 4: Simplify right side
    407.67x = 143,263.98
  5. Step 5: Solve for x
    x = 143,263.98/407.67
  6. Step 6: Final answer
    x = 351.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.