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Finding the Fourth Proportional to 643.80, 964.80 and 351.36

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Solution

The fourth proportional to 643.80, 964.80 and 351.36 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.80 : 964.80 = 351.36 : x
  2. Step 2: Convert to fraction form
    643.80/964.80 = 351.36/x
  3. Step 3: Cross multiply
    643.80x = 964.80 × 351.36
  4. Step 4: Simplify right side
    643.80x = 338,992.13
  5. Step 5: Solve for x
    x = 338,992.13/643.80
  6. Step 6: Final answer
    x = 526.55

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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.