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Finding the Fourth Proportional to 643.83, 965.35 and 351.37

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Solution

The fourth proportional to 643.83, 965.35 and 351.37 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.83 : 965.35 = 351.37 : x
  2. Step 2: Convert to fraction form
    643.83/965.35 = 351.37/x
  3. Step 3: Cross multiply
    643.83x = 965.35 × 351.37
  4. Step 4: Simplify right side
    643.83x = 339,195.03
  5. Step 5: Solve for x
    x = 339,195.03/643.83
  6. Step 6: Final answer
    x = 526.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.