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Finding the Fourth Proportional to 600.62, 900.95 and 189.81

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Solution

The fourth proportional to 600.62, 900.95 and 189.81 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 900.95 = 189.81 : x
  2. Step 2: Convert to fraction form
    600.62/900.95 = 189.81/x
  3. Step 3: Cross multiply
    600.62x = 900.95 × 189.81
  4. Step 4: Simplify right side
    600.62x = 171,008.37
  5. Step 5: Solve for x
    x = 171,008.37/600.62
  6. Step 6: Final answer
    x = 284.72

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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.