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Finding the Fourth Proportional to 650.10, 974.52 and 216.96

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Solution

The fourth proportional to 650.10, 974.52 and 216.96 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 974.52 = 216.96 : x
  2. Step 2: Convert to fraction form
    650.10/974.52 = 216.96/x
  3. Step 3: Cross multiply
    650.10x = 974.52 × 216.96
  4. Step 4: Simplify right side
    650.10x = 211,431.86
  5. Step 5: Solve for x
    x = 211,431.86/650.10
  6. Step 6: Final answer
    x = 325.23

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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.