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Finding the Fourth Proportional to 936.62, 1,405.49 and 416.65

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Solution

The fourth proportional to 936.62, 1,405.49 and 416.65 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.62 : 1,405.49 = 416.65 : x
  2. Step 2: Convert to fraction form
    936.62/1,405.49 = 416.65/x
  3. Step 3: Cross multiply
    936.62x = 1,405.49 × 416.65
  4. Step 4: Simplify right side
    936.62x = 585,602.06
  5. Step 5: Solve for x
    x = 585,602.06/936.62
  6. Step 6: Final answer
    x = 625.23

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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.