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Finding the Fourth Proportional to 380.96, 525.60 and 233.54

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Solution

The fourth proportional to 380.96, 525.60 and 233.54 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 525.60 = 233.54 : x
  2. Step 2: Convert to fraction form
    380.96/525.60 = 233.54/x
  3. Step 3: Cross multiply
    380.96x = 525.60 × 233.54
  4. Step 4: Simplify right side
    380.96x = 122,748.62
  5. Step 5: Solve for x
    x = 122,748.62/380.96
  6. Step 6: Final answer
    x = 322.21

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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.