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Finding the Fourth Proportional to 617.41, 926.13 and 345.23

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Solution

The fourth proportional to 617.41, 926.13 and 345.23 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.41 : 926.13 = 345.23 : x
  2. Step 2: Convert to fraction form
    617.41/926.13 = 345.23/x
  3. Step 3: Cross multiply
    617.41x = 926.13 × 345.23
  4. Step 4: Simplify right side
    617.41x = 319,728.00
  5. Step 5: Solve for x
    x = 319,728.00/617.41
  6. Step 6: Final answer
    x = 517.86

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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.