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Finding the Fourth Proportional to 422.98, 583.54 and 275.56

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Solution

The fourth proportional to 422.98, 583.54 and 275.56 is: 380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 583.54 = 275.56 : x
  2. Step 2: Convert to fraction form
    422.98/583.54 = 275.56/x
  3. Step 3: Cross multiply
    422.98x = 583.54 × 275.56
  4. Step 4: Simplify right side
    422.98x = 160,795.99
  5. Step 5: Solve for x
    x = 160,795.99/422.98
  6. Step 6: Final answer
    x = 380.15

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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.