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Finding the Fourth Proportional to 649.12, 973.66 and 210.36

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Solution

The fourth proportional to 649.12, 973.66 and 210.36 is: 315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 973.66 = 210.36 : x
  2. Step 2: Convert to fraction form
    649.12/973.66 = 210.36/x
  3. Step 3: Cross multiply
    649.12x = 973.66 × 210.36
  4. Step 4: Simplify right side
    649.12x = 204,819.12
  5. Step 5: Solve for x
    x = 204,819.12/649.12
  6. Step 6: Final answer
    x = 315.53

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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.