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Finding the Fourth Proportional to 491.59, 678.41 and 281.78

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Solution

The fourth proportional to 491.59, 678.41 and 281.78 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.59 : 678.41 = 281.78 : x
  2. Step 2: Convert to fraction form
    491.59/678.41 = 281.78/x
  3. Step 3: Cross multiply
    491.59x = 678.41 × 281.78
  4. Step 4: Simplify right side
    491.59x = 191,161.17
  5. Step 5: Solve for x
    x = 191,161.17/491.59
  6. Step 6: Final answer
    x = 388.87

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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.