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Finding the Fourth Proportional to 936.60, 1,404.91 and 416.46

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Solution

The fourth proportional to 936.60, 1,404.91 and 416.46 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.60 : 1,404.91 = 416.46 : x
  2. Step 2: Convert to fraction form
    936.60/1,404.91 = 416.46/x
  3. Step 3: Cross multiply
    936.60x = 1,404.91 × 416.46
  4. Step 4: Simplify right side
    936.60x = 585,093.37
  5. Step 5: Solve for x
    x = 585,093.37/936.60
  6. Step 6: Final answer
    x = 624.70

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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.