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Finding the Fourth Proportional to 617.93, 852.82 and 396.93

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Solution

The fourth proportional to 617.93, 852.82 and 396.93 is: 547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.93 : 852.82 = 396.93 : x
  2. Step 2: Convert to fraction form
    617.93/852.82 = 396.93/x
  3. Step 3: Cross multiply
    617.93x = 852.82 × 396.93
  4. Step 4: Simplify right side
    617.93x = 338,508.85
  5. Step 5: Solve for x
    x = 338,508.85/617.93
  6. Step 6: Final answer
    x = 547.82

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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.