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Finding the Fourth Proportional to 496.97, 743.93 and 410.10

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Solution

The fourth proportional to 496.97, 743.93 and 410.10 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 743.93 = 410.10 : x
  2. Step 2: Convert to fraction form
    496.97/743.93 = 410.10/x
  3. Step 3: Cross multiply
    496.97x = 743.93 × 410.10
  4. Step 4: Simplify right side
    496.97x = 305,085.69
  5. Step 5: Solve for x
    x = 305,085.69/496.97
  6. Step 6: Final answer
    x = 613.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.