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Finding the Fourth Proportional to 380.72, 525.24 and 233.34

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Solution

The fourth proportional to 380.72, 525.24 and 233.34 is: 321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.72 : 525.24 = 233.34 : x
  2. Step 2: Convert to fraction form
    380.72/525.24 = 233.34/x
  3. Step 3: Cross multiply
    380.72x = 525.24 × 233.34
  4. Step 4: Simplify right side
    380.72x = 122,559.50
  5. Step 5: Solve for x
    x = 122,559.50/380.72
  6. Step 6: Final answer
    x = 321.92

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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.