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Finding the Fourth Proportional to 491.69, 678.49 and 281.92

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Solution

The fourth proportional to 491.69, 678.49 and 281.92 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.69 : 678.49 = 281.92 : x
  2. Step 2: Convert to fraction form
    491.69/678.49 = 281.92/x
  3. Step 3: Cross multiply
    491.69x = 678.49 × 281.92
  4. Step 4: Simplify right side
    491.69x = 191,279.90
  5. Step 5: Solve for x
    x = 191,279.90/491.69
  6. Step 6: Final answer
    x = 389.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.