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Finding the Fourth Proportional to 496.65, 684.96 and 416.57

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Solution

The fourth proportional to 496.65, 684.96 and 416.57 is: 574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.65 : 684.96 = 416.57 : x
  2. Step 2: Convert to fraction form
    496.65/684.96 = 416.57/x
  3. Step 3: Cross multiply
    496.65x = 684.96 × 416.57
  4. Step 4: Simplify right side
    496.65x = 285,331.70
  5. Step 5: Solve for x
    x = 285,331.70/496.65
  6. Step 6: Final answer
    x = 574.52

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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.