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Finding the Fourth Proportional to 366.15, 547.80 and 279.75

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Solution

The fourth proportional to 366.15, 547.80 and 279.75 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 547.80 = 279.75 : x
  2. Step 2: Convert to fraction form
    366.15/547.80 = 279.75/x
  3. Step 3: Cross multiply
    366.15x = 547.80 × 279.75
  4. Step 4: Simplify right side
    366.15x = 153,247.05
  5. Step 5: Solve for x
    x = 153,247.05/366.15
  6. Step 6: Final answer
    x = 418.54

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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.