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Finding the Fourth Proportional to 274, 414 and 271.58

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Solution

The fourth proportional to 274, 414 and 271.58 is: 410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 414 = 271.58 : x
  2. Step 2: Convert to fraction form
    274/414 = 271.58/x
  3. Step 3: Cross multiply
    274x = 414 × 271.58
  4. Step 4: Simplify right side
    274x = 112,434.12
  5. Step 5: Solve for x
    x = 112,434.12/274
  6. Step 6: Final answer
    x = 410.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.