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Finding the Fourth Proportional to 561.16, 774.24 and 325.09

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Solution

The fourth proportional to 561.16, 774.24 and 325.09 is: 448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 774.24 = 325.09 : x
  2. Step 2: Convert to fraction form
    561.16/774.24 = 325.09/x
  3. Step 3: Cross multiply
    561.16x = 774.24 × 325.09
  4. Step 4: Simplify right side
    561.16x = 251,697.68
  5. Step 5: Solve for x
    x = 251,697.68/561.16
  6. Step 6: Final answer
    x = 448.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.