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Finding the Fourth Proportional to 474.42, 654.48 and 408.81

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Solution

The fourth proportional to 474.42, 654.48 and 408.81 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.42 : 654.48 = 408.81 : x
  2. Step 2: Convert to fraction form
    474.42/654.48 = 408.81/x
  3. Step 3: Cross multiply
    474.42x = 654.48 × 408.81
  4. Step 4: Simplify right side
    474.42x = 267,557.97
  5. Step 5: Solve for x
    x = 267,557.97/474.42
  6. Step 6: Final answer
    x = 563.97

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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.