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Finding the Fourth Proportional to 617.34, 851.64 and 396.21

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Solution

The fourth proportional to 617.34, 851.64 and 396.21 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 851.64 = 396.21 : x
  2. Step 2: Convert to fraction form
    617.34/851.64 = 396.21/x
  3. Step 3: Cross multiply
    617.34x = 851.64 × 396.21
  4. Step 4: Simplify right side
    617.34x = 337,428.28
  5. Step 5: Solve for x
    x = 337,428.28/617.34
  6. Step 6: Final answer
    x = 546.58

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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.