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Finding the Fourth Proportional to 531.44, 791.67 and 497.80

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Solution

The fourth proportional to 531.44, 791.67 and 497.80 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 791.67 = 497.80 : x
  2. Step 2: Convert to fraction form
    531.44/791.67 = 497.80/x
  3. Step 3: Cross multiply
    531.44x = 791.67 × 497.80
  4. Step 4: Simplify right side
    531.44x = 394,093.33
  5. Step 5: Solve for x
    x = 394,093.33/531.44
  6. Step 6: Final answer
    x = 741.56

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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.