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Finding the Fourth Proportional to 574.80, 792.30 and 408.76

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Solution

The fourth proportional to 574.80, 792.30 and 408.76 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 792.30 = 408.76 : x
  2. Step 2: Convert to fraction form
    574.80/792.30 = 408.76/x
  3. Step 3: Cross multiply
    574.80x = 792.30 × 408.76
  4. Step 4: Simplify right side
    574.80x = 323,860.55
  5. Step 5: Solve for x
    x = 323,860.55/574.80
  6. Step 6: Final answer
    x = 563.43

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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.