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Finding the Fourth Proportional to 416.14, 624.31 and 185.09

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Solution

The fourth proportional to 416.14, 624.31 and 185.09 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 624.31 = 185.09 : x
  2. Step 2: Convert to fraction form
    416.14/624.31 = 185.09/x
  3. Step 3: Cross multiply
    416.14x = 624.31 × 185.09
  4. Step 4: Simplify right side
    416.14x = 115,549.95
  5. Step 5: Solve for x
    x = 115,549.95/416.14
  6. Step 6: Final answer
    x = 277.67

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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.