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Finding the Fourth Proportional to 617.82, 926.86 and 233.06

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Solution

The fourth proportional to 617.82, 926.86 and 233.06 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 926.86 = 233.06 : x
  2. Step 2: Convert to fraction form
    617.82/926.86 = 233.06/x
  3. Step 3: Cross multiply
    617.82x = 926.86 × 233.06
  4. Step 4: Simplify right side
    617.82x = 216,013.99
  5. Step 5: Solve for x
    x = 216,013.99/617.82
  6. Step 6: Final answer
    x = 349.64

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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.