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Finding the Fourth Proportional to 461.98, 637.67 and 304.73

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Solution

The fourth proportional to 461.98, 637.67 and 304.73 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 637.67 = 304.73 : x
  2. Step 2: Convert to fraction form
    461.98/637.67 = 304.73/x
  3. Step 3: Cross multiply
    461.98x = 637.67 × 304.73
  4. Step 4: Simplify right side
    461.98x = 194,315.66
  5. Step 5: Solve for x
    x = 194,315.66/461.98
  6. Step 6: Final answer
    x = 420.62

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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.