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Finding the Fourth Proportional to 312.28, 467.55 and 235.28

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Solution

The fourth proportional to 312.28, 467.55 and 235.28 is: 352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 467.55 = 235.28 : x
  2. Step 2: Convert to fraction form
    312.28/467.55 = 235.28/x
  3. Step 3: Cross multiply
    312.28x = 467.55 × 235.28
  4. Step 4: Simplify right side
    312.28x = 110,005.16
  5. Step 5: Solve for x
    x = 110,005.16/312.28
  6. Step 6: Final answer
    x = 352.26

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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.