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Finding the Fourth Proportional to 366.38, 548.37 and 279.25

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Solution

The fourth proportional to 366.38, 548.37 and 279.25 is: 417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.38 : 548.37 = 279.25 : x
  2. Step 2: Convert to fraction form
    366.38/548.37 = 279.25/x
  3. Step 3: Cross multiply
    366.38x = 548.37 × 279.25
  4. Step 4: Simplify right side
    366.38x = 153,132.32
  5. Step 5: Solve for x
    x = 153,132.32/366.38
  6. Step 6: Final answer
    x = 417.96

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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.