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Finding the Fourth Proportional to 461.34, 634.77 and 450.41

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Solution

The fourth proportional to 461.34, 634.77 and 450.41 is: 619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 634.77 = 450.41 : x
  2. Step 2: Convert to fraction form
    461.34/634.77 = 450.41/x
  3. Step 3: Cross multiply
    461.34x = 634.77 × 450.41
  4. Step 4: Simplify right side
    461.34x = 285,903.58
  5. Step 5: Solve for x
    x = 285,903.58/461.34
  6. Step 6: Final answer
    x = 619.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.