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Finding the Fourth Proportional to 297.96, 411.80 and 261.94

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Solution

The fourth proportional to 297.96, 411.80 and 261.94 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 411.80 = 261.94 : x
  2. Step 2: Convert to fraction form
    297.96/411.80 = 261.94/x
  3. Step 3: Cross multiply
    297.96x = 411.80 × 261.94
  4. Step 4: Simplify right side
    297.96x = 107,866.89
  5. Step 5: Solve for x
    x = 107,866.89/297.96
  6. Step 6: Final answer
    x = 362.02

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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.