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Finding the Fourth Proportional to 437.49, 603.20 and 319.43

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Solution

The fourth proportional to 437.49, 603.20 and 319.43 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.49 : 603.20 = 319.43 : x
  2. Step 2: Convert to fraction form
    437.49/603.20 = 319.43/x
  3. Step 3: Cross multiply
    437.49x = 603.20 × 319.43
  4. Step 4: Simplify right side
    437.49x = 192,675.56
  5. Step 5: Solve for x
    x = 192,675.56/437.49
  6. Step 6: Final answer
    x = 440.41

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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.