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Finding the Fourth Proportional to 333.45, 460.00 and 235.25

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Solution

The fourth proportional to 333.45, 460.00 and 235.25 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.45 : 460.00 = 235.25 : x
  2. Step 2: Convert to fraction form
    333.45/460.00 = 235.25/x
  3. Step 3: Cross multiply
    333.45x = 460.00 × 235.25
  4. Step 4: Simplify right side
    333.45x = 108,215.98
  5. Step 5: Solve for x
    x = 108,215.98/333.45
  6. Step 6: Final answer
    x = 324.53

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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.