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Finding the Fourth Proportional to 408.71, 613.00 and 177.54

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Solution

The fourth proportional to 408.71, 613.00 and 177.54 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 613.00 = 177.54 : x
  2. Step 2: Convert to fraction form
    408.71/613.00 = 177.54/x
  3. Step 3: Cross multiply
    408.71x = 613.00 × 177.54
  4. Step 4: Simplify right side
    408.71x = 108,831.24
  5. Step 5: Solve for x
    x = 108,831.24/408.71
  6. Step 6: Final answer
    x = 266.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.