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Finding the Fourth Proportional to 379.56, 569.52 and 225.36

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Solution

The fourth proportional to 379.56, 569.52 and 225.36 is: 338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.56 : 569.52 = 225.36 : x
  2. Step 2: Convert to fraction form
    379.56/569.52 = 225.36/x
  3. Step 3: Cross multiply
    379.56x = 569.52 × 225.36
  4. Step 4: Simplify right side
    379.56x = 128,347.03
  5. Step 5: Solve for x
    x = 128,347.03/379.56
  6. Step 6: Final answer
    x = 338.15

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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.