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Finding the Fourth Proportional to 491.49, 678.30 and 281.74

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Solution

The fourth proportional to 491.49, 678.30 and 281.74 is: 388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.49 : 678.30 = 281.74 : x
  2. Step 2: Convert to fraction form
    491.49/678.30 = 281.74/x
  3. Step 3: Cross multiply
    491.49x = 678.30 × 281.74
  4. Step 4: Simplify right side
    491.49x = 191,104.24
  5. Step 5: Solve for x
    x = 191,104.24/491.49
  6. Step 6: Final answer
    x = 388.83

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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.