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Finding the Fourth Proportional to 356.90, 491.94 and 269.42

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Solution

The fourth proportional to 356.90, 491.94 and 269.42 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.90 : 491.94 = 269.42 : x
  2. Step 2: Convert to fraction form
    356.90/491.94 = 269.42/x
  3. Step 3: Cross multiply
    356.90x = 491.94 × 269.42
  4. Step 4: Simplify right side
    356.90x = 132,538.47
  5. Step 5: Solve for x
    x = 132,538.47/356.90
  6. Step 6: Final answer
    x = 371.36

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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.