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Finding the Fourth Proportional to 408.44, 612.72 and 177.32

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Solution

The fourth proportional to 408.44, 612.72 and 177.32 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.44 : 612.72 = 177.32 : x
  2. Step 2: Convert to fraction form
    408.44/612.72 = 177.32/x
  3. Step 3: Cross multiply
    408.44x = 612.72 × 177.32
  4. Step 4: Simplify right side
    408.44x = 108,649.04
  5. Step 5: Solve for x
    x = 108,649.04/408.44
  6. Step 6: Final answer
    x = 266.01

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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.