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Finding the Fourth Proportional to 600.50, 900.75 and 189.63

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Solution

The fourth proportional to 600.50, 900.75 and 189.63 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.50 : 900.75 = 189.63 : x
  2. Step 2: Convert to fraction form
    600.50/900.75 = 189.63/x
  3. Step 3: Cross multiply
    600.50x = 900.75 × 189.63
  4. Step 4: Simplify right side
    600.50x = 170,809.22
  5. Step 5: Solve for x
    x = 170,809.22/600.50
  6. Step 6: Final answer
    x = 284.45

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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.