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Finding the Fourth Proportional to 437.28, 603.68 and 319.44

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Solution

The fourth proportional to 437.28, 603.68 and 319.44 is: 441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 603.68 = 319.44 : x
  2. Step 2: Convert to fraction form
    437.28/603.68 = 319.44/x
  3. Step 3: Cross multiply
    437.28x = 603.68 × 319.44
  4. Step 4: Simplify right side
    437.28x = 192,839.54
  5. Step 5: Solve for x
    x = 192,839.54/437.28
  6. Step 6: Final answer
    x = 441.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.