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Finding the Fourth Proportional to 649.25, 973.05 and 324.71

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Solution

The fourth proportional to 649.25, 973.05 and 324.71 is: 486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 973.05 = 324.71 : x
  2. Step 2: Convert to fraction form
    649.25/973.05 = 324.71/x
  3. Step 3: Cross multiply
    649.25x = 973.05 × 324.71
  4. Step 4: Simplify right side
    649.25x = 315,954.20
  5. Step 5: Solve for x
    x = 315,954.20/649.25
  6. Step 6: Final answer
    x = 486.65

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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.