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Finding the Fourth Proportional to 599.97, 899.96 and 189.07

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Solution

The fourth proportional to 599.97, 899.96 and 189.07 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 899.96 = 189.07 : x
  2. Step 2: Convert to fraction form
    599.97/899.96 = 189.07/x
  3. Step 3: Cross multiply
    599.97x = 899.96 × 189.07
  4. Step 4: Simplify right side
    599.97x = 170,155.44
  5. Step 5: Solve for x
    x = 170,155.44/599.97
  6. Step 6: Final answer
    x = 283.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.