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Finding the Fourth Proportional to 936.57, 1,405.23 and 416.68

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Solution

The fourth proportional to 936.57, 1,405.23 and 416.68 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.57 : 1,405.23 = 416.68 : x
  2. Step 2: Convert to fraction form
    936.57/1,405.23 = 416.68/x
  3. Step 3: Cross multiply
    936.57x = 1,405.23 × 416.68
  4. Step 4: Simplify right side
    936.57x = 585,531.24
  5. Step 5: Solve for x
    x = 585,531.24/936.57
  6. Step 6: Final answer
    x = 625.19

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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.