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Finding the Fourth Proportional to 617.31, 851.46 and 420.48

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Solution

The fourth proportional to 617.31, 851.46 and 420.48 is: 579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 851.46 = 420.48 : x
  2. Step 2: Convert to fraction form
    617.31/851.46 = 420.48/x
  3. Step 3: Cross multiply
    617.31x = 851.46 × 420.48
  4. Step 4: Simplify right side
    617.31x = 358,021.90
  5. Step 5: Solve for x
    x = 358,021.90/617.31
  6. Step 6: Final answer
    x = 579.97

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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.