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Finding the Fourth Proportional to 288.36, 397.24 and 246.78

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Solution

The fourth proportional to 288.36, 397.24 and 246.78 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 397.24 = 246.78 : x
  2. Step 2: Convert to fraction form
    288.36/397.24 = 246.78/x
  3. Step 3: Cross multiply
    288.36x = 397.24 × 246.78
  4. Step 4: Simplify right side
    288.36x = 98,030.89
  5. Step 5: Solve for x
    x = 98,030.89/288.36
  6. Step 6: Final answer
    x = 339.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.