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Finding the Fourth Proportional to 461.88, 637.21 and 296.06

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Solution

The fourth proportional to 461.88, 637.21 and 296.06 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 637.21 = 296.06 : x
  2. Step 2: Convert to fraction form
    461.88/637.21 = 296.06/x
  3. Step 3: Cross multiply
    461.88x = 637.21 × 296.06
  4. Step 4: Simplify right side
    461.88x = 188,647.73
  5. Step 5: Solve for x
    x = 188,647.73/461.88
  6. Step 6: Final answer
    x = 408.43

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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.