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Finding the Fourth Proportional to 380.73, 525.57 and 233.43

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Solution

The fourth proportional to 380.73, 525.57 and 233.43 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.73 : 525.57 = 233.43 : x
  2. Step 2: Convert to fraction form
    380.73/525.57 = 233.43/x
  3. Step 3: Cross multiply
    380.73x = 525.57 × 233.43
  4. Step 4: Simplify right side
    380.73x = 122,683.81
  5. Step 5: Solve for x
    x = 122,683.81/380.73
  6. Step 6: Final answer
    x = 322.23

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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.