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Finding the Fourth Proportional to 498.29, 687.61 and 277.23

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Solution

The fourth proportional to 498.29, 687.61 and 277.23 is: 382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.29 : 687.61 = 277.23 : x
  2. Step 2: Convert to fraction form
    498.29/687.61 = 277.23/x
  3. Step 3: Cross multiply
    498.29x = 687.61 × 277.23
  4. Step 4: Simplify right side
    498.29x = 190,624.73
  5. Step 5: Solve for x
    x = 190,624.73/498.29
  6. Step 6: Final answer
    x = 382.56

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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.