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Finding the Fourth Proportional to 461.20, 628 and 461.20

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Solution

The fourth proportional to 461.20, 628 and 461.20 is: 628

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 628 = 461.20 : x
  2. Step 2: Convert to fraction form
    461.20/628 = 461.20/x
  3. Step 3: Cross multiply
    461.20x = 628 × 461.20
  4. Step 4: Simplify right side
    461.20x = 289,633.60
  5. Step 5: Solve for x
    x = 289,633.60/461.20
  6. Step 6: Final answer
    x = 628

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.