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Finding the Fourth Proportional to 438.42, 658.31 and 418.94

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Solution

The fourth proportional to 438.42, 658.31 and 418.94 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.42 : 658.31 = 418.94 : x
  2. Step 2: Convert to fraction form
    438.42/658.31 = 418.94/x
  3. Step 3: Cross multiply
    438.42x = 658.31 × 418.94
  4. Step 4: Simplify right side
    438.42x = 275,795.08
  5. Step 5: Solve for x
    x = 275,795.08/438.42
  6. Step 6: Final answer
    x = 629.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.