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Finding the Fourth Proportional to 461.62, 637.95 and 378.60

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Solution

The fourth proportional to 461.62, 637.95 and 378.60 is: 523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 637.95 = 378.60 : x
  2. Step 2: Convert to fraction form
    461.62/637.95 = 378.60/x
  3. Step 3: Cross multiply
    461.62x = 637.95 × 378.60
  4. Step 4: Simplify right side
    461.62x = 241,527.87
  5. Step 5: Solve for x
    x = 241,527.87/461.62
  6. Step 6: Final answer
    x = 523.22

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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.