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Finding the Fourth Proportional to 645.77, 891.16 and 351.04

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Solution

The fourth proportional to 645.77, 891.16 and 351.04 is: 484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 891.16 = 351.04 : x
  2. Step 2: Convert to fraction form
    645.77/891.16 = 351.04/x
  3. Step 3: Cross multiply
    645.77x = 891.16 × 351.04
  4. Step 4: Simplify right side
    645.77x = 312,829.70
  5. Step 5: Solve for x
    x = 312,829.70/645.77
  6. Step 6: Final answer
    x = 484.43

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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.