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Finding the Fourth Proportional to 408.18, 612.48 and 271.32

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Solution

The fourth proportional to 408.18, 612.48 and 271.32 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.18 : 612.48 = 271.32 : x
  2. Step 2: Convert to fraction form
    408.18/612.48 = 271.32/x
  3. Step 3: Cross multiply
    408.18x = 612.48 × 271.32
  4. Step 4: Simplify right side
    408.18x = 166,178.07
  5. Step 5: Solve for x
    x = 166,178.07/408.18
  6. Step 6: Final answer
    x = 407.12

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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.