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Finding the Fourth Proportional to 335.78, 463.46 and 269.13

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Solution

The fourth proportional to 335.78, 463.46 and 269.13 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 463.46 = 269.13 : x
  2. Step 2: Convert to fraction form
    335.78/463.46 = 269.13/x
  3. Step 3: Cross multiply
    335.78x = 463.46 × 269.13
  4. Step 4: Simplify right side
    335.78x = 124,730.99
  5. Step 5: Solve for x
    x = 124,730.99/335.78
  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.