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Finding the Fourth Proportional to 496.16, 684.67 and 275.10

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Solution

The fourth proportional to 496.16, 684.67 and 275.10 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 684.67 = 275.10 : x
  2. Step 2: Convert to fraction form
    496.16/684.67 = 275.10/x
  3. Step 3: Cross multiply
    496.16x = 684.67 × 275.10
  4. Step 4: Simplify right side
    496.16x = 188,352.03
  5. Step 5: Solve for x
    x = 188,352.03/496.16
  6. Step 6: Final answer
    x = 379.62

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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.