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Finding the Fourth Proportional to 350.27, 483.63 and 226.00

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Solution

The fourth proportional to 350.27, 483.63 and 226.00 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.27 : 483.63 = 226.00 : x
  2. Step 2: Convert to fraction form
    350.27/483.63 = 226.00/x
  3. Step 3: Cross multiply
    350.27x = 483.63 × 226.00
  4. Step 4: Simplify right side
    350.27x = 109,300.14
  5. Step 5: Solve for x
    x = 109,300.14/350.27
  6. Step 6: Final answer
    x = 312.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.