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Finding the Fourth Proportional to 463.47, 637.97 and 419.73

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Solution

The fourth proportional to 463.47, 637.97 and 419.73 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.47 : 637.97 = 419.73 : x
  2. Step 2: Convert to fraction form
    463.47/637.97 = 419.73/x
  3. Step 3: Cross multiply
    463.47x = 637.97 × 419.73
  4. Step 4: Simplify right side
    463.47x = 267,773.05
  5. Step 5: Solve for x
    x = 267,773.05/463.47
  6. Step 6: Final answer
    x = 577.76

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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.