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Finding the Fourth Proportional to 652.35, 978.83 and 327.95

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Solution

The fourth proportional to 652.35, 978.83 and 327.95 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.35 : 978.83 = 327.95 : x
  2. Step 2: Convert to fraction form
    652.35/978.83 = 327.95/x
  3. Step 3: Cross multiply
    652.35x = 978.83 × 327.95
  4. Step 4: Simplify right side
    652.35x = 321,003.22
  5. Step 5: Solve for x
    x = 321,003.22/652.35
  6. Step 6: Final answer
    x = 492.07

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