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Finding the Fourth Proportional to 312.81, 468.37 and 254.79

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Solution

The fourth proportional to 312.81, 468.37 and 254.79 is: 381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 468.37 = 254.79 : x
  2. Step 2: Convert to fraction form
    312.81/468.37 = 254.79/x
  3. Step 3: Cross multiply
    312.81x = 468.37 × 254.79
  4. Step 4: Simplify right side
    312.81x = 119,335.36
  5. Step 5: Solve for x
    x = 119,335.36/312.81
  6. Step 6: Final answer
    x = 381.50

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Why These Related Problems?

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