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Finding the Fourth Proportional to 421.44, 581.88 and 338.46

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Solution

The fourth proportional to 421.44, 581.88 and 338.46 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 581.88 = 338.46 : x
  2. Step 2: Convert to fraction form
    421.44/581.88 = 338.46/x
  3. Step 3: Cross multiply
    421.44x = 581.88 × 338.46
  4. Step 4: Simplify right side
    421.44x = 196,943.10
  5. Step 5: Solve for x
    x = 196,943.10/421.44
  6. Step 6: Final answer
    x = 467.31

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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.