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Finding the Fourth Proportional to 380.43, 525.06 and 233.01

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Solution

The fourth proportional to 380.43, 525.06 and 233.01 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.43 : 525.06 = 233.01 : x
  2. Step 2: Convert to fraction form
    380.43/525.06 = 233.01/x
  3. Step 3: Cross multiply
    380.43x = 525.06 × 233.01
  4. Step 4: Simplify right side
    380.43x = 122,344.23
  5. Step 5: Solve for x
    x = 122,344.23/380.43
  6. Step 6: Final answer
    x = 321.59

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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.