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Finding the Fourth Proportional to 573.76, 791.61 and 325.06

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Solution

The fourth proportional to 573.76, 791.61 and 325.06 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.76 : 791.61 = 325.06 : x
  2. Step 2: Convert to fraction form
    573.76/791.61 = 325.06/x
  3. Step 3: Cross multiply
    573.76x = 791.61 × 325.06
  4. Step 4: Simplify right side
    573.76x = 257,320.75
  5. Step 5: Solve for x
    x = 257,320.75/573.76
  6. Step 6: Final answer
    x = 448.48

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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.