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Finding the Fourth Proportional to 312.28, 430.18 and 238.57

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Solution

The fourth proportional to 312.28, 430.18 and 238.57 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 430.18 = 238.57 : x
  2. Step 2: Convert to fraction form
    312.28/430.18 = 238.57/x
  3. Step 3: Cross multiply
    312.28x = 430.18 × 238.57
  4. Step 4: Simplify right side
    312.28x = 102,626.37
  5. Step 5: Solve for x
    x = 102,626.37/312.28
  6. Step 6: Final answer
    x = 328.64

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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.