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Finding the Fourth Proportional to 335.31, 462.77 and 225.01

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Solution

The fourth proportional to 335.31, 462.77 and 225.01 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 462.77 = 225.01 : x
  2. Step 2: Convert to fraction form
    335.31/462.77 = 225.01/x
  3. Step 3: Cross multiply
    335.31x = 462.77 × 225.01
  4. Step 4: Simplify right side
    335.31x = 104,127.88
  5. Step 5: Solve for x
    x = 104,127.88/335.31
  6. Step 6: Final answer
    x = 310.54

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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.