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Finding the Fourth Proportional to 936.05, 1,404.22 and 416.23

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Solution

The fourth proportional to 936.05, 1,404.22 and 416.23 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.05 : 1,404.22 = 416.23 : x
  2. Step 2: Convert to fraction form
    936.05/1,404.22 = 416.23/x
  3. Step 3: Cross multiply
    936.05x = 1,404.22 × 416.23
  4. Step 4: Simplify right side
    936.05x = 584,471.47
  5. Step 5: Solve for x
    x = 584,471.47/936.05
  6. Step 6: Final answer
    x = 624.41

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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.