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Finding the Fourth Proportional to 312.96, 467.12 and 280.48

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Solution

The fourth proportional to 312.96, 467.12 and 280.48 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 467.12 = 280.48 : x
  2. Step 2: Convert to fraction form
    312.96/467.12 = 280.48/x
  3. Step 3: Cross multiply
    312.96x = 467.12 × 280.48
  4. Step 4: Simplify right side
    312.96x = 131,017.82
  5. Step 5: Solve for x
    x = 131,017.82/312.96
  6. Step 6: Final answer
    x = 418.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.