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Finding the Fourth Proportional to 354.56, 488.97 and 305.42

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Solution

The fourth proportional to 354.56, 488.97 and 305.42 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 488.97 = 305.42 : x
  2. Step 2: Convert to fraction form
    354.56/488.97 = 305.42/x
  3. Step 3: Cross multiply
    354.56x = 488.97 × 305.42
  4. Step 4: Simplify right side
    354.56x = 149,338.77
  5. Step 5: Solve for x
    x = 149,338.77/354.56
  6. Step 6: Final answer
    x = 421.20

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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.