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Finding the Fourth Proportional to 270.32, 404.52 and 209.24

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Solution

The fourth proportional to 270.32, 404.52 and 209.24 is: 313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 404.52 = 209.24 : x
  2. Step 2: Convert to fraction form
    270.32/404.52 = 209.24/x
  3. Step 3: Cross multiply
    270.32x = 404.52 × 209.24
  4. Step 4: Simplify right side
    270.32x = 84,641.76
  5. Step 5: Solve for x
    x = 84,641.76/270.32
  6. Step 6: Final answer
    x = 313.12

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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.