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Finding the Fourth Proportional to 356.31, 491.42 and 273.29

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Solution

The fourth proportional to 356.31, 491.42 and 273.29 is: 376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.31 : 491.42 = 273.29 : x
  2. Step 2: Convert to fraction form
    356.31/491.42 = 273.29/x
  3. Step 3: Cross multiply
    356.31x = 491.42 × 273.29
  4. Step 4: Simplify right side
    356.31x = 134,298.40
  5. Step 5: Solve for x
    x = 134,298.40/356.31
  6. Step 6: Final answer
    x = 376.91

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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.