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Finding the Fourth Proportional to 422.80, 583.47 and 256.99

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Solution

The fourth proportional to 422.80, 583.47 and 256.99 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 583.47 = 256.99 : x
  2. Step 2: Convert to fraction form
    422.80/583.47 = 256.99/x
  3. Step 3: Cross multiply
    422.80x = 583.47 × 256.99
  4. Step 4: Simplify right side
    422.80x = 149,945.96
  5. Step 5: Solve for x
    x = 149,945.96/422.80
  6. Step 6: Final answer
    x = 354.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.