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Finding the Fourth Proportional to 617.25, 926.01 and 232.50

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Solution

The fourth proportional to 617.25, 926.01 and 232.50 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 926.01 = 232.50 : x
  2. Step 2: Convert to fraction form
    617.25/926.01 = 232.50/x
  3. Step 3: Cross multiply
    617.25x = 926.01 × 232.50
  4. Step 4: Simplify right side
    617.25x = 215,297.33
  5. Step 5: Solve for x
    x = 215,297.33/617.25
  6. Step 6: Final answer
    x = 348.80

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Why These Related Problems?

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