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Finding the Fourth Proportional to 617.42, 851.21 and 512.12

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Solution

The fourth proportional to 617.42, 851.21 and 512.12 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 851.21 = 512.12 : x
  2. Step 2: Convert to fraction form
    617.42/851.21 = 512.12/x
  3. Step 3: Cross multiply
    617.42x = 851.21 × 512.12
  4. Step 4: Simplify right side
    617.42x = 435,921.67
  5. Step 5: Solve for x
    x = 435,921.67/617.42
  6. Step 6: Final answer
    x = 706.04

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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.