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Finding the Fourth Proportional to 491.80, 678.82 and 282.09

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Solution

The fourth proportional to 491.80, 678.82 and 282.09 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.80 : 678.82 = 282.09 : x
  2. Step 2: Convert to fraction form
    491.80/678.82 = 282.09/x
  3. Step 3: Cross multiply
    491.80x = 678.82 × 282.09
  4. Step 4: Simplify right side
    491.80x = 191,488.33
  5. Step 5: Solve for x
    x = 191,488.33/491.80
  6. Step 6: Final answer
    x = 389.36

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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.