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Finding the Fourth Proportional to 382.60, 528.09 and 235.30

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Solution

The fourth proportional to 382.60, 528.09 and 235.30 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 528.09 = 235.30 : x
  2. Step 2: Convert to fraction form
    382.60/528.09 = 235.30/x
  3. Step 3: Cross multiply
    382.60x = 528.09 × 235.30
  4. Step 4: Simplify right side
    382.60x = 124,259.58
  5. Step 5: Solve for x
    x = 124,259.58/382.60
  6. Step 6: Final answer
    x = 324.78

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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.