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Finding the Fourth Proportional to 574.32, 791.63 and 387.75

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Solution

The fourth proportional to 574.32, 791.63 and 387.75 is: 534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 791.63 = 387.75 : x
  2. Step 2: Convert to fraction form
    574.32/791.63 = 387.75/x
  3. Step 3: Cross multiply
    574.32x = 791.63 × 387.75
  4. Step 4: Simplify right side
    574.32x = 306,953.26
  5. Step 5: Solve for x
    x = 306,953.26/574.32
  6. Step 6: Final answer
    x = 534.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.