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Finding the Fourth Proportional to 498.20, 687.56 and 277.22

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Solution

The fourth proportional to 498.20, 687.56 and 277.22 is: 382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 687.56 = 277.22 : x
  2. Step 2: Convert to fraction form
    498.20/687.56 = 277.22/x
  3. Step 3: Cross multiply
    498.20x = 687.56 × 277.22
  4. Step 4: Simplify right side
    498.20x = 190,605.72
  5. Step 5: Solve for x
    x = 190,605.72/498.20
  6. Step 6: Final answer
    x = 382.59

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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.