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Finding the Fourth Proportional to 643.68, 964.73 and 351.34

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Solution

The fourth proportional to 643.68, 964.73 and 351.34 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 964.73 = 351.34 : x
  2. Step 2: Convert to fraction form
    643.68/964.73 = 351.34/x
  3. Step 3: Cross multiply
    643.68x = 964.73 × 351.34
  4. Step 4: Simplify right side
    643.68x = 338,946.70
  5. Step 5: Solve for x
    x = 338,946.70/643.68
  6. Step 6: Final answer
    x = 526.58

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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.