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Finding the Fourth Proportional to 290.39, 436.19 and 276.48

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Solution

The fourth proportional to 290.39, 436.19 and 276.48 is: 415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.39 : 436.19 = 276.48 : x
  2. Step 2: Convert to fraction form
    290.39/436.19 = 276.48/x
  3. Step 3: Cross multiply
    290.39x = 436.19 × 276.48
  4. Step 4: Simplify right side
    290.39x = 120,596.43
  5. Step 5: Solve for x
    x = 120,596.43/290.39
  6. Step 6: Final answer
    x = 415.30

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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.