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Finding the Fourth Proportional to 445.14, 614.30 and 378.54

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Solution

The fourth proportional to 445.14, 614.30 and 378.54 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.14 : 614.30 = 378.54 : x
  2. Step 2: Convert to fraction form
    445.14/614.30 = 378.54/x
  3. Step 3: Cross multiply
    445.14x = 614.30 × 378.54
  4. Step 4: Simplify right side
    445.14x = 232,535.23
  5. Step 5: Solve for x
    x = 232,535.23/445.14
  6. Step 6: Final answer
    x = 522.39

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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.