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Finding the Fourth Proportional to 936.28, 1,404.89 and 416.62

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Solution

The fourth proportional to 936.28, 1,404.89 and 416.62 is: 625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.28 : 1,404.89 = 416.62 : x
  2. Step 2: Convert to fraction form
    936.28/1,404.89 = 416.62/x
  3. Step 3: Cross multiply
    936.28x = 1,404.89 × 416.62
  4. Step 4: Simplify right side
    936.28x = 585,305.27
  5. Step 5: Solve for x
    x = 585,305.27/936.28
  6. Step 6: Final answer
    x = 625.14

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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.