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Finding the Fourth Proportional to 600.72, 900.78 and 189.88

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Solution

The fourth proportional to 600.72, 900.78 and 189.88 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 900.78 = 189.88 : x
  2. Step 2: Convert to fraction form
    600.72/900.78 = 189.88/x
  3. Step 3: Cross multiply
    600.72x = 900.78 × 189.88
  4. Step 4: Simplify right side
    600.72x = 171,040.11
  5. Step 5: Solve for x
    x = 171,040.11/600.72
  6. Step 6: Final answer
    x = 284.73

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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.