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Finding the Fourth Proportional to 379.93, 524.19 and 232.41

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Solution

The fourth proportional to 379.93, 524.19 and 232.41 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.93 : 524.19 = 232.41 : x
  2. Step 2: Convert to fraction form
    379.93/524.19 = 232.41/x
  3. Step 3: Cross multiply
    379.93x = 524.19 × 232.41
  4. Step 4: Simplify right side
    379.93x = 121,827.00
  5. Step 5: Solve for x
    x = 121,827.00/379.93
  6. Step 6: Final answer
    x = 320.66

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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.