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Finding the Fourth Proportional to 416.49, 624.07 and 185.32

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Solution

The fourth proportional to 416.49, 624.07 and 185.32 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 624.07 = 185.32 : x
  2. Step 2: Convert to fraction form
    416.49/624.07 = 185.32/x
  3. Step 3: Cross multiply
    416.49x = 624.07 × 185.32
  4. Step 4: Simplify right side
    416.49x = 115,652.65
  5. Step 5: Solve for x
    x = 115,652.65/416.49
  6. Step 6: Final answer
    x = 277.68

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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.