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Finding the Fourth Proportional to 649.29, 973.58 and 216.21

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Solution

The fourth proportional to 649.29, 973.58 and 216.21 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.29 : 973.58 = 216.21 : x
  2. Step 2: Convert to fraction form
    649.29/973.58 = 216.21/x
  3. Step 3: Cross multiply
    649.29x = 973.58 × 216.21
  4. Step 4: Simplify right side
    649.29x = 210,496.65
  5. Step 5: Solve for x
    x = 210,496.65/649.29
  6. Step 6: Final answer
    x = 324.20

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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.