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Finding the Fourth Proportional to 437.97, 603.09 and 313.41

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Solution

The fourth proportional to 437.97, 603.09 and 313.41 is: 431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.97 : 603.09 = 313.41 : x
  2. Step 2: Convert to fraction form
    437.97/603.09 = 313.41/x
  3. Step 3: Cross multiply
    437.97x = 603.09 × 313.41
  4. Step 4: Simplify right side
    437.97x = 189,016.55
  5. Step 5: Solve for x
    x = 189,016.55/437.97
  6. Step 6: Final answer
    x = 431.57

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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.