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Finding the Fourth Proportional to 356.79, 492.14 and 269.31

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Solution

The fourth proportional to 356.79, 492.14 and 269.31 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.79 : 492.14 = 269.31 : x
  2. Step 2: Convert to fraction form
    356.79/492.14 = 269.31/x
  3. Step 3: Cross multiply
    356.79x = 492.14 × 269.31
  4. Step 4: Simplify right side
    356.79x = 132,538.22
  5. Step 5: Solve for x
    x = 132,538.22/356.79
  6. Step 6: Final answer
    x = 371.47

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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.