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Finding the Fourth Proportional to 293.96, 406.54 and 257.05

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Solution

The fourth proportional to 293.96, 406.54 and 257.05 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 406.54 = 257.05 : x
  2. Step 2: Convert to fraction form
    293.96/406.54 = 257.05/x
  3. Step 3: Cross multiply
    293.96x = 406.54 × 257.05
  4. Step 4: Simplify right side
    293.96x = 104,503.23
  5. Step 5: Solve for x
    x = 104,503.23/293.96
  6. Step 6: Final answer
    x = 355.50

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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.