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Finding the Fourth Proportional to 600.77, 901.11 and 276.12

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Solution

The fourth proportional to 600.77, 901.11 and 276.12 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 901.11 = 276.12 : x
  2. Step 2: Convert to fraction form
    600.77/901.11 = 276.12/x
  3. Step 3: Cross multiply
    600.77x = 901.11 × 276.12
  4. Step 4: Simplify right side
    600.77x = 248,814.49
  5. Step 5: Solve for x
    x = 248,814.49/600.77
  6. Step 6: Final answer
    x = 414.16

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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.