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Finding the Fourth Proportional to 408.15, 562.88 and 277.13

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Solution

The fourth proportional to 408.15, 562.88 and 277.13 is: 382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 562.88 = 277.13 : x
  2. Step 2: Convert to fraction form
    408.15/562.88 = 277.13/x
  3. Step 3: Cross multiply
    408.15x = 562.88 × 277.13
  4. Step 4: Simplify right side
    408.15x = 155,993.03
  5. Step 5: Solve for x
    x = 155,993.03/408.15
  6. Step 6: Final answer
    x = 382.20

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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.