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Finding the Fourth Proportional to 649.11, 973.71 and 216.21

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Solution

The fourth proportional to 649.11, 973.71 and 216.21 is: 324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 973.71 = 216.21 : x
  2. Step 2: Convert to fraction form
    649.11/973.71 = 216.21/x
  3. Step 3: Cross multiply
    649.11x = 973.71 × 216.21
  4. Step 4: Simplify right side
    649.11x = 210,525.84
  5. Step 5: Solve for x
    x = 210,525.84/649.11
  6. Step 6: Final answer
    x = 324.33

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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.