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Finding the Fourth Proportional to 445.96, 614.82 and 381.16

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Solution

The fourth proportional to 445.96, 614.82 and 381.16 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 614.82 = 381.16 : x
  2. Step 2: Convert to fraction form
    445.96/614.82 = 381.16/x
  3. Step 3: Cross multiply
    445.96x = 614.82 × 381.16
  4. Step 4: Simplify right side
    445.96x = 234,344.79
  5. Step 5: Solve for x
    x = 234,344.79/445.96
  6. Step 6: Final answer
    x = 525.48

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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.