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Finding the Fourth Proportional to 600.63, 901.20 and 254.05

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Solution

The fourth proportional to 600.63, 901.20 and 254.05 is: 381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.63 : 901.20 = 254.05 : x
  2. Step 2: Convert to fraction form
    600.63/901.20 = 254.05/x
  3. Step 3: Cross multiply
    600.63x = 901.20 × 254.05
  4. Step 4: Simplify right side
    600.63x = 228,949.86
  5. Step 5: Solve for x
    x = 228,949.86/600.63
  6. Step 6: Final answer
    x = 381.18

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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.