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Finding the Fourth Proportional to 356.07, 491.12 and 231.84

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Solution

The fourth proportional to 356.07, 491.12 and 231.84 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.07 : 491.12 = 231.84 : x
  2. Step 2: Convert to fraction form
    356.07/491.12 = 231.84/x
  3. Step 3: Cross multiply
    356.07x = 491.12 × 231.84
  4. Step 4: Simplify right side
    356.07x = 113,857.65
  5. Step 5: Solve for x
    x = 113,857.65/356.07
  6. Step 6: Final answer
    x = 319.77

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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.