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Finding the Fourth Proportional to 290.86, 435.42 and 252.38

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Solution

The fourth proportional to 290.86, 435.42 and 252.38 is: 377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 435.42 = 252.38 : x
  2. Step 2: Convert to fraction form
    290.86/435.42 = 252.38/x
  3. Step 3: Cross multiply
    290.86x = 435.42 × 252.38
  4. Step 4: Simplify right side
    290.86x = 109,891.30
  5. Step 5: Solve for x
    x = 109,891.30/290.86
  6. Step 6: Final answer
    x = 377.82

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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.