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Finding the Fourth Proportional to 290.29, 435.06 and 251.62

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Solution

The fourth proportional to 290.29, 435.06 and 251.62 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.29 : 435.06 = 251.62 : x
  2. Step 2: Convert to fraction form
    290.29/435.06 = 251.62/x
  3. Step 3: Cross multiply
    290.29x = 435.06 × 251.62
  4. Step 4: Simplify right side
    290.29x = 109,468.27
  5. Step 5: Solve for x
    x = 109,468.27/290.29
  6. Step 6: Final answer
    x = 377.10

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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.