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Finding the Fourth Proportional to 438.21, 604.72 and 241.71

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Solution

The fourth proportional to 438.21, 604.72 and 241.71 is: 333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 604.72 = 241.71 : x
  2. Step 2: Convert to fraction form
    438.21/604.72 = 241.71/x
  3. Step 3: Cross multiply
    438.21x = 604.72 × 241.71
  4. Step 4: Simplify right side
    438.21x = 146,168.53
  5. Step 5: Solve for x
    x = 146,168.53/438.21
  6. Step 6: Final answer
    x = 333.56

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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.