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Finding the Fourth Proportional to 356.84, 492.91 and 274.97

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Solution

The fourth proportional to 356.84, 492.91 and 274.97 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 492.91 = 274.97 : x
  2. Step 2: Convert to fraction form
    356.84/492.91 = 274.97/x
  3. Step 3: Cross multiply
    356.84x = 492.91 × 274.97
  4. Step 4: Simplify right side
    356.84x = 135,535.46
  5. Step 5: Solve for x
    x = 135,535.46/356.84
  6. Step 6: Final answer
    x = 379.82

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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.