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Finding the Fourth Proportional to 422.92, 583.60 and 275.56

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Solution

The fourth proportional to 422.92, 583.60 and 275.56 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.60 = 275.56 : x
  2. Step 2: Convert to fraction form
    422.92/583.60 = 275.56/x
  3. Step 3: Cross multiply
    422.92x = 583.60 × 275.56
  4. Step 4: Simplify right side
    422.92x = 160,816.82
  5. Step 5: Solve for x
    x = 160,816.82/422.92
  6. Step 6: Final answer
    x = 380.25

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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.