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Finding the Fourth Proportional to 497.81, 687.02 and 276.82

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Solution

The fourth proportional to 497.81, 687.02 and 276.82 is: 382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 687.02 = 276.82 : x
  2. Step 2: Convert to fraction form
    497.81/687.02 = 276.82/x
  3. Step 3: Cross multiply
    497.81x = 687.02 × 276.82
  4. Step 4: Simplify right side
    497.81x = 190,180.88
  5. Step 5: Solve for x
    x = 190,180.88/497.81
  6. Step 6: Final answer
    x = 382.04

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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.