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Finding the Fourth Proportional to 360.22, 496.95 and 235.84

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Solution

The fourth proportional to 360.22, 496.95 and 235.84 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 496.95 = 235.84 : x
  2. Step 2: Convert to fraction form
    360.22/496.95 = 235.84/x
  3. Step 3: Cross multiply
    360.22x = 496.95 × 235.84
  4. Step 4: Simplify right side
    360.22x = 117,200.69
  5. Step 5: Solve for x
    x = 117,200.69/360.22
  6. Step 6: Final answer
    x = 325.36

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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.