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Finding the Fourth Proportional to 573.34, 791.75 and 461.33

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Solution

The fourth proportional to 573.34, 791.75 and 461.33 is: 637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.34 : 791.75 = 461.33 : x
  2. Step 2: Convert to fraction form
    573.34/791.75 = 461.33/x
  3. Step 3: Cross multiply
    573.34x = 791.75 × 461.33
  4. Step 4: Simplify right side
    573.34x = 365,258.03
  5. Step 5: Solve for x
    x = 365,258.03/573.34
  6. Step 6: Final answer
    x = 637.07

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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.