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Finding the Fourth Proportional to 850.37, 1,274.67 and 438.58

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Solution

The fourth proportional to 850.37, 1,274.67 and 438.58 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.37 : 1,274.67 = 438.58 : x
  2. Step 2: Convert to fraction form
    850.37/1,274.67 = 438.58/x
  3. Step 3: Cross multiply
    850.37x = 1,274.67 × 438.58
  4. Step 4: Simplify right side
    850.37x = 559,046.36
  5. Step 5: Solve for x
    x = 559,046.36/850.37
  6. Step 6: Final answer
    x = 657.42

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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.