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Finding the Fourth Proportional to 617.03, 925.81 and 232.19

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Solution

The fourth proportional to 617.03, 925.81 and 232.19 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.03 : 925.81 = 232.19 : x
  2. Step 2: Convert to fraction form
    617.03/925.81 = 232.19/x
  3. Step 3: Cross multiply
    617.03x = 925.81 × 232.19
  4. Step 4: Simplify right side
    617.03x = 214,963.82
  5. Step 5: Solve for x
    x = 214,963.82/617.03
  6. Step 6: Final answer
    x = 348.38

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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.