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Finding the Fourth Proportional to 496.40, 684.23 and 391.31

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Solution

The fourth proportional to 496.40, 684.23 and 391.31 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.40 : 684.23 = 391.31 : x
  2. Step 2: Convert to fraction form
    496.40/684.23 = 391.31/x
  3. Step 3: Cross multiply
    496.40x = 684.23 × 391.31
  4. Step 4: Simplify right side
    496.40x = 267,746.04
  5. Step 5: Solve for x
    x = 267,746.04/496.40
  6. Step 6: Final answer
    x = 539.38

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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.