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Finding the Fourth Proportional to 341.84, 470.92 and 282.44

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Solution

The fourth proportional to 341.84, 470.92 and 282.44 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 470.92 = 282.44 : x
  2. Step 2: Convert to fraction form
    341.84/470.92 = 282.44/x
  3. Step 3: Cross multiply
    341.84x = 470.92 × 282.44
  4. Step 4: Simplify right side
    341.84x = 133,006.64
  5. Step 5: Solve for x
    x = 133,006.64/341.84
  6. Step 6: Final answer
    x = 389.09

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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.