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Finding the Fourth Proportional to 645.95, 891.43 and 380.41

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Solution

The fourth proportional to 645.95, 891.43 and 380.41 is: 524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 891.43 = 380.41 : x
  2. Step 2: Convert to fraction form
    645.95/891.43 = 380.41/x
  3. Step 3: Cross multiply
    645.95x = 891.43 × 380.41
  4. Step 4: Simplify right side
    645.95x = 339,105.71
  5. Step 5: Solve for x
    x = 339,105.71/645.95
  6. Step 6: Final answer
    x = 524.97

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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.