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Finding the Fourth Proportional to 647.73, 970.47 and 323.28

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Solution

The fourth proportional to 647.73, 970.47 and 323.28 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 970.47 = 323.28 : x
  2. Step 2: Convert to fraction form
    647.73/970.47 = 323.28/x
  3. Step 3: Cross multiply
    647.73x = 970.47 × 323.28
  4. Step 4: Simplify right side
    647.73x = 313,733.54
  5. Step 5: Solve for x
    x = 313,733.54/647.73
  6. Step 6: Final answer
    x = 484.36

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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.