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Finding the Fourth Proportional to 496.97, 741.67 and 463.96

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Solution

The fourth proportional to 496.97, 741.67 and 463.96 is: 692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 741.67 = 463.96 : x
  2. Step 2: Convert to fraction form
    496.97/741.67 = 463.96/x
  3. Step 3: Cross multiply
    496.97x = 741.67 × 463.96
  4. Step 4: Simplify right side
    496.97x = 344,107.59
  5. Step 5: Solve for x
    x = 344,107.59/496.97
  6. Step 6: Final answer
    x = 692.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.