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Finding the Fourth Proportional to 649.04, 973.16 and 324.56

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Solution

The fourth proportional to 649.04, 973.16 and 324.56 is: 486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 973.16 = 324.56 : x
  2. Step 2: Convert to fraction form
    649.04/973.16 = 324.56/x
  3. Step 3: Cross multiply
    649.04x = 973.16 × 324.56
  4. Step 4: Simplify right side
    649.04x = 315,848.81
  5. Step 5: Solve for x
    x = 315,848.81/649.04
  6. Step 6: Final answer
    x = 486.64

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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.