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Finding the Fourth Proportional to 290.46, 435.27 and 209.46

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Solution

The fourth proportional to 290.46, 435.27 and 209.46 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 435.27 = 209.46 : x
  2. Step 2: Convert to fraction form
    290.46/435.27 = 209.46/x
  3. Step 3: Cross multiply
    290.46x = 435.27 × 209.46
  4. Step 4: Simplify right side
    290.46x = 91,171.65
  5. Step 5: Solve for x
    x = 91,171.65/290.46
  6. Step 6: Final answer
    x = 313.89

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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.