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Finding the Fourth Proportional to 379.89, 570.90 and 225.84

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Solution

The fourth proportional to 379.89, 570.90 and 225.84 is: 339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 570.90 = 225.84 : x
  2. Step 2: Convert to fraction form
    379.89/570.90 = 225.84/x
  3. Step 3: Cross multiply
    379.89x = 570.90 × 225.84
  4. Step 4: Simplify right side
    379.89x = 128,932.06
  5. Step 5: Solve for x
    x = 128,932.06/379.89
  6. Step 6: Final answer
    x = 339.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.