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Finding the Fourth Proportional to 422.30, 583.06 and 273.16

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Solution

The fourth proportional to 422.30, 583.06 and 273.16 is: 377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 583.06 = 273.16 : x
  2. Step 2: Convert to fraction form
    422.30/583.06 = 273.16/x
  3. Step 3: Cross multiply
    422.30x = 583.06 × 273.16
  4. Step 4: Simplify right side
    422.30x = 159,268.67
  5. Step 5: Solve for x
    x = 159,268.67/422.30
  6. Step 6: Final answer
    x = 377.15

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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.