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Finding the Fourth Proportional to 445.80, 665.85 and 381

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Solution

The fourth proportional to 445.80, 665.85 and 381 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.80 : 665.85 = 381 : x
  2. Step 2: Convert to fraction form
    445.80/665.85 = 381/x
  3. Step 3: Cross multiply
    445.80x = 665.85 × 381
  4. Step 4: Simplify right side
    445.80x = 253,688.85
  5. Step 5: Solve for x
    x = 253,688.85/445.80
  6. Step 6: Final answer
    x = 569.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.