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Finding the Fourth Proportional to 600.11, 899.71 and 189.03

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Solution

The fourth proportional to 600.11, 899.71 and 189.03 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.11 : 899.71 = 189.03 : x
  2. Step 2: Convert to fraction form
    600.11/899.71 = 189.03/x
  3. Step 3: Cross multiply
    600.11x = 899.71 × 189.03
  4. Step 4: Simplify right side
    600.11x = 170,075.08
  5. Step 5: Solve for x
    x = 170,075.08/600.11
  6. Step 6: Final answer
    x = 283.41

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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.