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Finding the Fourth Proportional to 617.77, 926.23 and 232.69

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Solution

The fourth proportional to 617.77, 926.23 and 232.69 is: 348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 926.23 = 232.69 : x
  2. Step 2: Convert to fraction form
    617.77/926.23 = 232.69/x
  3. Step 3: Cross multiply
    617.77x = 926.23 × 232.69
  4. Step 4: Simplify right side
    617.77x = 215,521.56
  5. Step 5: Solve for x
    x = 215,521.56/617.77
  6. Step 6: Final answer
    x = 348.87

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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.