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Finding the Fourth Proportional to 600.84, 901.26 and 189.90

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Solution

The fourth proportional to 600.84, 901.26 and 189.90 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 901.26 = 189.90 : x
  2. Step 2: Convert to fraction form
    600.84/901.26 = 189.90/x
  3. Step 3: Cross multiply
    600.84x = 901.26 × 189.90
  4. Step 4: Simplify right side
    600.84x = 171,149.27
  5. Step 5: Solve for x
    x = 171,149.27/600.84
  6. Step 6: Final answer
    x = 284.85

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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.