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Finding the Fourth Proportional to 437.70, 604.17 and 313.43

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Solution

The fourth proportional to 437.70, 604.17 and 313.43 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.70 : 604.17 = 313.43 : x
  2. Step 2: Convert to fraction form
    437.70/604.17 = 313.43/x
  3. Step 3: Cross multiply
    437.70x = 604.17 × 313.43
  4. Step 4: Simplify right side
    437.70x = 189,361.98
  5. Step 5: Solve for x
    x = 189,361.98/437.70
  6. Step 6: Final answer
    x = 432.63

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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.