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Finding the Fourth Proportional to 638.42, 881.09 and 461.94

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Solution

The fourth proportional to 638.42, 881.09 and 461.94 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 881.09 = 461.94 : x
  2. Step 2: Convert to fraction form
    638.42/881.09 = 461.94/x
  3. Step 3: Cross multiply
    638.42x = 881.09 × 461.94
  4. Step 4: Simplify right side
    638.42x = 407,010.71
  5. Step 5: Solve for x
    x = 407,010.71/638.42
  6. Step 6: Final answer
    x = 637.53

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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.