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Finding the Fourth Proportional to 379.94, 524.37 and 232.60

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Solution

The fourth proportional to 379.94, 524.37 and 232.60 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.94 : 524.37 = 232.60 : x
  2. Step 2: Convert to fraction form
    379.94/524.37 = 232.60/x
  3. Step 3: Cross multiply
    379.94x = 524.37 × 232.60
  4. Step 4: Simplify right side
    379.94x = 121,968.46
  5. Step 5: Solve for x
    x = 121,968.46/379.94
  6. Step 6: Final answer
    x = 321.02

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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.