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Finding the Fourth Proportional to 380.10, 524.51 and 232.71

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Solution

The fourth proportional to 380.10, 524.51 and 232.71 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 524.51 = 232.71 : x
  2. Step 2: Convert to fraction form
    380.10/524.51 = 232.71/x
  3. Step 3: Cross multiply
    380.10x = 524.51 × 232.71
  4. Step 4: Simplify right side
    380.10x = 122,057.56
  5. Step 5: Solve for x
    x = 122,057.56/380.10
  6. Step 6: Final answer
    x = 321.12

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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.