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Finding the Fourth Proportional to 638.34, 880.76 and 461.56

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Solution

The fourth proportional to 638.34, 880.76 and 461.56 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.34 : 880.76 = 461.56 : x
  2. Step 2: Convert to fraction form
    638.34/880.76 = 461.56/x
  3. Step 3: Cross multiply
    638.34x = 880.76 × 461.56
  4. Step 4: Simplify right side
    638.34x = 406,516.87
  5. Step 5: Solve for x
    x = 406,516.87/638.34
  6. Step 6: Final answer
    x = 636.84

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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.