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Finding the Fourth Proportional to 498.84, 684 and 449.52

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Solution

The fourth proportional to 498.84, 684 and 449.52 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 684 = 449.52 : x
  2. Step 2: Convert to fraction form
    498.84/684 = 449.52/x
  3. Step 3: Cross multiply
    498.84x = 684 × 449.52
  4. Step 4: Simplify right side
    498.84x = 307,471.68
  5. Step 5: Solve for x
    x = 307,471.68/498.84
  6. Step 6: Final answer
    x = 616.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.