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Finding the Fourth Proportional to 575.20, 794.04 and 409.60

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Solution

The fourth proportional to 575.20, 794.04 and 409.60 is: 565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 794.04 = 409.60 : x
  2. Step 2: Convert to fraction form
    575.20/794.04 = 409.60/x
  3. Step 3: Cross multiply
    575.20x = 794.04 × 409.60
  4. Step 4: Simplify right side
    575.20x = 325,238.78
  5. Step 5: Solve for x
    x = 325,238.78/575.20
  6. Step 6: Final answer
    x = 565.44

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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.