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Finding the Fourth Proportional to 652.82, 978.66 and 328.41

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Solution

The fourth proportional to 652.82, 978.66 and 328.41 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 978.66 = 328.41 : x
  2. Step 2: Convert to fraction form
    652.82/978.66 = 328.41/x
  3. Step 3: Cross multiply
    652.82x = 978.66 × 328.41
  4. Step 4: Simplify right side
    652.82x = 321,401.73
  5. Step 5: Solve for x
    x = 321,401.73/652.82
  6. Step 6: Final answer
    x = 492.33

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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.