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Finding the Fourth Proportional to 574.04, 791.76 and 353.11

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Solution

The fourth proportional to 574.04, 791.76 and 353.11 is: 487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.04 : 791.76 = 353.11 : x
  2. Step 2: Convert to fraction form
    574.04/791.76 = 353.11/x
  3. Step 3: Cross multiply
    574.04x = 791.76 × 353.11
  4. Step 4: Simplify right side
    574.04x = 279,574.41
  5. Step 5: Solve for x
    x = 279,574.41/574.04
  6. Step 6: Final answer
    x = 487.03

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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.