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Finding the Fourth Proportional to 474.30, 654.30 and 408.69

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Solution

The fourth proportional to 474.30, 654.30 and 408.69 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 654.30 = 408.69 : x
  2. Step 2: Convert to fraction form
    474.30/654.30 = 408.69/x
  3. Step 3: Cross multiply
    474.30x = 654.30 × 408.69
  4. Step 4: Simplify right side
    474.30x = 267,405.87
  5. Step 5: Solve for x
    x = 267,405.87/474.30
  6. Step 6: Final answer
    x = 563.79

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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.