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Finding the Fourth Proportional to 617.86, 926.79 and 310.09

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Solution

The fourth proportional to 617.86, 926.79 and 310.09 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.86 : 926.79 = 310.09 : x
  2. Step 2: Convert to fraction form
    617.86/926.79 = 310.09/x
  3. Step 3: Cross multiply
    617.86x = 926.79 × 310.09
  4. Step 4: Simplify right side
    617.86x = 287,388.31
  5. Step 5: Solve for x
    x = 287,388.31/617.86
  6. Step 6: Final answer
    x = 465.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.