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Finding the Fourth Proportional to 599.97, 900.17 and 189.13

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Solution

The fourth proportional to 599.97, 900.17 and 189.13 is: 283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 900.17 = 189.13 : x
  2. Step 2: Convert to fraction form
    599.97/900.17 = 189.13/x
  3. Step 3: Cross multiply
    599.97x = 900.17 × 189.13
  4. Step 4: Simplify right side
    599.97x = 170,249.15
  5. Step 5: Solve for x
    x = 170,249.15/599.97
  6. Step 6: Final answer
    x = 283.76

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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.