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Finding the Fourth Proportional to 649.22, 973.38 and 302.36

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Solution

The fourth proportional to 649.22, 973.38 and 302.36 is: 453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 973.38 = 302.36 : x
  2. Step 2: Convert to fraction form
    649.22/973.38 = 302.36/x
  3. Step 3: Cross multiply
    649.22x = 973.38 × 302.36
  4. Step 4: Simplify right side
    649.22x = 294,311.18
  5. Step 5: Solve for x
    x = 294,311.18/649.22
  6. Step 6: Final answer
    x = 453.33

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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.