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Finding the Fourth Proportional to 650.41, 974.99 and 217.25

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Solution

The fourth proportional to 650.41, 974.99 and 217.25 is: 325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 974.99 = 217.25 : x
  2. Step 2: Convert to fraction form
    650.41/974.99 = 217.25/x
  3. Step 3: Cross multiply
    650.41x = 974.99 × 217.25
  4. Step 4: Simplify right side
    650.41x = 211,816.58
  5. Step 5: Solve for x
    x = 211,816.58/650.41
  6. Step 6: Final answer
    x = 325.67

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1.5x scale

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.