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Finding the Fourth Proportional to 650.35, 975.06 and 325.48

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Solution

The fourth proportional to 650.35, 975.06 and 325.48 is: 487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.06 = 325.48 : x
  2. Step 2: Convert to fraction form
    650.35/975.06 = 325.48/x
  3. Step 3: Cross multiply
    650.35x = 975.06 × 325.48
  4. Step 4: Simplify right side
    650.35x = 317,362.53
  5. Step 5: Solve for x
    x = 317,362.53/650.35
  6. Step 6: Final answer
    x = 487.99

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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.