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Finding the Fourth Proportional to 649.72, 974.32 and 216.76

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Solution

The fourth proportional to 649.72, 974.32 and 216.76 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.32 = 216.76 : x
  2. Step 2: Convert to fraction form
    649.72/974.32 = 216.76/x
  3. Step 3: Cross multiply
    649.72x = 974.32 × 216.76
  4. Step 4: Simplify right side
    649.72x = 211,193.60
  5. Step 5: Solve for x
    x = 211,193.60/649.72
  6. Step 6: Final answer
    x = 325.05

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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.