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Finding the Fourth Proportional to 645.76, 891.13 and 351.03

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Solution

The fourth proportional to 645.76, 891.13 and 351.03 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.76 : 891.13 = 351.03 : x
  2. Step 2: Convert to fraction form
    645.76/891.13 = 351.03/x
  3. Step 3: Cross multiply
    645.76x = 891.13 × 351.03
  4. Step 4: Simplify right side
    645.76x = 312,813.36
  5. Step 5: Solve for x
    x = 312,813.36/645.76
  6. Step 6: Final answer
    x = 484.41

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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.