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Finding the Fourth Proportional to 599.94, 900.02 and 189.20

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Solution

The fourth proportional to 599.94, 900.02 and 189.20 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 900.02 = 189.20 : x
  2. Step 2: Convert to fraction form
    599.94/900.02 = 189.20/x
  3. Step 3: Cross multiply
    599.94x = 900.02 × 189.20
  4. Step 4: Simplify right side
    599.94x = 170,279.28
  5. Step 5: Solve for x
    x = 170,279.28/599.94
  6. Step 6: Final answer
    x = 283.83

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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.