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Finding the Fourth Proportional to 343.82, 474.59 and 205.82

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Solution

The fourth proportional to 343.82, 474.59 and 205.82 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.82 : 474.59 = 205.82 : x
  2. Step 2: Convert to fraction form
    343.82/474.59 = 205.82/x
  3. Step 3: Cross multiply
    343.82x = 474.59 × 205.82
  4. Step 4: Simplify right side
    343.82x = 97,676.71
  5. Step 5: Solve for x
    x = 97,676.71/343.82
  6. Step 6: Final answer
    x = 284.10

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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.