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Finding the Fourth Proportional to 617.61, 852.31 and 337.86

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Solution

The fourth proportional to 617.61, 852.31 and 337.86 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 852.31 = 337.86 : x
  2. Step 2: Convert to fraction form
    617.61/852.31 = 337.86/x
  3. Step 3: Cross multiply
    617.61x = 852.31 × 337.86
  4. Step 4: Simplify right side
    617.61x = 287,961.46
  5. Step 5: Solve for x
    x = 287,961.46/617.61
  6. Step 6: Final answer
    x = 466.25

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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.