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Finding the Fourth Proportional to 275.57, 379.84 and 253.49

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Solution

The fourth proportional to 275.57, 379.84 and 253.49 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 379.84 = 253.49 : x
  2. Step 2: Convert to fraction form
    275.57/379.84 = 253.49/x
  3. Step 3: Cross multiply
    275.57x = 379.84 × 253.49
  4. Step 4: Simplify right side
    275.57x = 96,284.37
  5. Step 5: Solve for x
    x = 96,284.37/275.57
  6. Step 6: Final answer
    x = 349.41

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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.