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Finding the Fourth Proportional to 379.70, 524.27 and 232.53

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Solution

The fourth proportional to 379.70, 524.27 and 232.53 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.70 : 524.27 = 232.53 : x
  2. Step 2: Convert to fraction form
    379.70/524.27 = 232.53/x
  3. Step 3: Cross multiply
    379.70x = 524.27 × 232.53
  4. Step 4: Simplify right side
    379.70x = 121,907.34
  5. Step 5: Solve for x
    x = 121,907.34/379.70
  6. Step 6: Final answer
    x = 321.07

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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.