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Finding the Fourth Proportional to 461.53, 637.41 and 314.56

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Solution

The fourth proportional to 461.53, 637.41 and 314.56 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 637.41 = 314.56 : x
  2. Step 2: Convert to fraction form
    461.53/637.41 = 314.56/x
  3. Step 3: Cross multiply
    461.53x = 637.41 × 314.56
  4. Step 4: Simplify right side
    461.53x = 200,503.69
  5. Step 5: Solve for x
    x = 200,503.69/461.53
  6. Step 6: Final answer
    x = 434.43

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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.