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Finding the Fourth Proportional to 496.49, 684.24 and 417.83

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Solution

The fourth proportional to 496.49, 684.24 and 417.83 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.49 : 684.24 = 417.83 : x
  2. Step 2: Convert to fraction form
    496.49/684.24 = 417.83/x
  3. Step 3: Cross multiply
    496.49x = 684.24 × 417.83
  4. Step 4: Simplify right side
    496.49x = 285,896.00
  5. Step 5: Solve for x
    x = 285,896.00/496.49
  6. Step 6: Final answer
    x = 575.83

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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.