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Finding the Fourth Proportional to 297.52, 409.76 and 277.36

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Solution

The fourth proportional to 297.52, 409.76 and 277.36 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 409.76 = 277.36 : x
  2. Step 2: Convert to fraction form
    297.52/409.76 = 277.36/x
  3. Step 3: Cross multiply
    297.52x = 409.76 × 277.36
  4. Step 4: Simplify right side
    297.52x = 113,651.03
  5. Step 5: Solve for x
    x = 113,651.03/297.52
  6. Step 6: Final answer
    x = 381.99

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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.