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Finding the Fourth Proportional to 649.10, 973.61 and 302.33

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Solution

The fourth proportional to 649.10, 973.61 and 302.33 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 973.61 = 302.33 : x
  2. Step 2: Convert to fraction form
    649.10/973.61 = 302.33/x
  3. Step 3: Cross multiply
    649.10x = 973.61 × 302.33
  4. Step 4: Simplify right side
    649.10x = 294,350.00
  5. Step 5: Solve for x
    x = 294,350.00/649.10
  6. Step 6: Final answer
    x = 453.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.