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Finding the Fourth Proportional to 379.84, 524.22 and 232.48

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Solution

The fourth proportional to 379.84, 524.22 and 232.48 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 524.22 = 232.48 : x
  2. Step 2: Convert to fraction form
    379.84/524.22 = 232.48/x
  3. Step 3: Cross multiply
    379.84x = 524.22 × 232.48
  4. Step 4: Simplify right side
    379.84x = 121,870.67
  5. Step 5: Solve for x
    x = 121,870.67/379.84
  6. Step 6: Final answer
    x = 320.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.