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Finding the Fourth Proportional to 498, 687.22 and 276.96

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Solution

The fourth proportional to 498, 687.22 and 276.96 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 687.22 = 276.96 : x
  2. Step 2: Convert to fraction form
    498/687.22 = 276.96/x
  3. Step 3: Cross multiply
    498x = 687.22 × 276.96
  4. Step 4: Simplify right side
    498x = 190,332.45
  5. Step 5: Solve for x
    x = 190,332.45/498
  6. Step 6: Final answer
    x = 382.19

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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.