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Finding the Fourth Proportional to 290.45, 434.64 and 252.06

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Solution

The fourth proportional to 290.45, 434.64 and 252.06 is: 377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.45 : 434.64 = 252.06 : x
  2. Step 2: Convert to fraction form
    290.45/434.64 = 252.06/x
  3. Step 3: Cross multiply
    290.45x = 434.64 × 252.06
  4. Step 4: Simplify right side
    290.45x = 109,555.36
  5. Step 5: Solve for x
    x = 109,555.36/290.45
  6. Step 6: Final answer
    x = 377.19

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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.