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Finding the Fourth Proportional to 380.06, 524.36 and 232.76

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Solution

The fourth proportional to 380.06, 524.36 and 232.76 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 524.36 = 232.76 : x
  2. Step 2: Convert to fraction form
    380.06/524.36 = 232.76/x
  3. Step 3: Cross multiply
    380.06x = 524.36 × 232.76
  4. Step 4: Simplify right side
    380.06x = 122,050.03
  5. Step 5: Solve for x
    x = 122,050.03/380.06
  6. Step 6: Final answer
    x = 321.13

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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.