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Finding the Fourth Proportional to 380.28, 524.66 and 232.92

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Solution

The fourth proportional to 380.28, 524.66 and 232.92 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 524.66 = 232.92 : x
  2. Step 2: Convert to fraction form
    380.28/524.66 = 232.92/x
  3. Step 3: Cross multiply
    380.28x = 524.66 × 232.92
  4. Step 4: Simplify right side
    380.28x = 122,203.81
  5. Step 5: Solve for x
    x = 122,203.81/380.28
  6. Step 6: Final answer
    x = 321.35

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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.