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Finding the Fourth Proportional to 617.71, 926.02 and 233.23

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Solution

The fourth proportional to 617.71, 926.02 and 233.23 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.71 : 926.02 = 233.23 : x
  2. Step 2: Convert to fraction form
    617.71/926.02 = 233.23/x
  3. Step 3: Cross multiply
    617.71x = 926.02 × 233.23
  4. Step 4: Simplify right side
    617.71x = 215,975.64
  5. Step 5: Solve for x
    x = 215,975.64/617.71
  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.