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Finding the Fourth Proportional to 649.56, 973.44 and 325.14

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Solution

The fourth proportional to 649.56, 973.44 and 325.14 is: 487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 973.44 = 325.14 : x
  2. Step 2: Convert to fraction form
    649.56/973.44 = 325.14/x
  3. Step 3: Cross multiply
    649.56x = 973.44 × 325.14
  4. Step 4: Simplify right side
    649.56x = 316,504.28
  5. Step 5: Solve for x
    x = 316,504.28/649.56
  6. Step 6: Final answer
    x = 487.26

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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.