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Finding the Fourth Proportional to 649.09, 973.82 and 302.41

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Solution

The fourth proportional to 649.09, 973.82 and 302.41 is: 453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.82 = 302.41 : x
  2. Step 2: Convert to fraction form
    649.09/973.82 = 302.41/x
  3. Step 3: Cross multiply
    649.09x = 973.82 × 302.41
  4. Step 4: Simplify right side
    649.09x = 294,491.39
  5. Step 5: Solve for x
    x = 294,491.39/649.09
  6. Step 6: Final answer
    x = 453.70

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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.