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Finding the Fourth Proportional to 356.44, 491.98 and 232.44

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Solution

The fourth proportional to 356.44, 491.98 and 232.44 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.44 : 491.98 = 232.44 : x
  2. Step 2: Convert to fraction form
    356.44/491.98 = 232.44/x
  3. Step 3: Cross multiply
    356.44x = 491.98 × 232.44
  4. Step 4: Simplify right side
    356.44x = 114,355.83
  5. Step 5: Solve for x
    x = 114,355.83/356.44
  6. Step 6: Final answer
    x = 320.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.