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Finding the Fourth Proportional to 573.60, 791.46 and 387.24

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Solution

The fourth proportional to 573.60, 791.46 and 387.24 is: 534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 791.46 = 387.24 : x
  2. Step 2: Convert to fraction form
    573.60/791.46 = 387.24/x
  3. Step 3: Cross multiply
    573.60x = 791.46 × 387.24
  4. Step 4: Simplify right side
    573.60x = 306,484.97
  5. Step 5: Solve for x
    x = 306,484.97/573.60
  6. Step 6: Final answer
    x = 534.32

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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.