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Finding the Fourth Proportional to 445.62, 614.73 and 288.09

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Solution

The fourth proportional to 445.62, 614.73 and 288.09 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.62 : 614.73 = 288.09 : x
  2. Step 2: Convert to fraction form
    445.62/614.73 = 288.09/x
  3. Step 3: Cross multiply
    445.62x = 614.73 × 288.09
  4. Step 4: Simplify right side
    445.62x = 177,097.57
  5. Step 5: Solve for x
    x = 177,097.57/445.62
  6. Step 6: Final answer
    x = 397.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.