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Finding the Fourth Proportional to 491.20, 677.81 and 270.16

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Solution

The fourth proportional to 491.20, 677.81 and 270.16 is: 372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 677.81 = 270.16 : x
  2. Step 2: Convert to fraction form
    491.20/677.81 = 270.16/x
  3. Step 3: Cross multiply
    491.20x = 677.81 × 270.16
  4. Step 4: Simplify right side
    491.20x = 183,112.41
  5. Step 5: Solve for x
    x = 183,112.41/491.20
  6. Step 6: Final answer
    x = 372.79

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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.