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Finding the Fourth Proportional to 496.93, 746.04 and 405.82

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Solution

The fourth proportional to 496.93, 746.04 and 405.82 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.93 : 746.04 = 405.82 : x
  2. Step 2: Convert to fraction form
    496.93/746.04 = 405.82/x
  3. Step 3: Cross multiply
    496.93x = 746.04 × 405.82
  4. Step 4: Simplify right side
    496.93x = 302,757.95
  5. Step 5: Solve for x
    x = 302,757.95/496.93
  6. Step 6: Final answer
    x = 609.26

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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.