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Finding the Fourth Proportional to 600.37, 900.06 and 189.25

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Solution

The fourth proportional to 600.37, 900.06 and 189.25 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 900.06 = 189.25 : x
  2. Step 2: Convert to fraction form
    600.37/900.06 = 189.25/x
  3. Step 3: Cross multiply
    600.37x = 900.06 × 189.25
  4. Step 4: Simplify right side
    600.37x = 170,336.36
  5. Step 5: Solve for x
    x = 170,336.36/600.37
  6. Step 6: Final answer
    x = 283.72

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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.