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Finding the Fourth Proportional to 573.80, 791.40 and 387.20

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Solution

The fourth proportional to 573.80, 791.40 and 387.20 is: 534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 791.40 = 387.20 : x
  2. Step 2: Convert to fraction form
    573.80/791.40 = 387.20/x
  3. Step 3: Cross multiply
    573.80x = 791.40 × 387.20
  4. Step 4: Simplify right side
    573.80x = 306,430.08
  5. Step 5: Solve for x
    x = 306,430.08/573.80
  6. Step 6: Final answer
    x = 534.04

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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.