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Finding the Fourth Proportional to 270.40, 405.60 and 209.65

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Solution

The fourth proportional to 270.40, 405.60 and 209.65 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 405.60 = 209.65 : x
  2. Step 2: Convert to fraction form
    270.40/405.60 = 209.65/x
  3. Step 3: Cross multiply
    270.40x = 405.60 × 209.65
  4. Step 4: Simplify right side
    270.40x = 85,034.04
  5. Step 5: Solve for x
    x = 85,034.04/270.40
  6. Step 6: Final answer
    x = 314.48

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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.