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Finding the Fourth Proportional to 468.06, 645.21 and 320.24

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Solution

The fourth proportional to 468.06, 645.21 and 320.24 is: 441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 645.21 = 320.24 : x
  2. Step 2: Convert to fraction form
    468.06/645.21 = 320.24/x
  3. Step 3: Cross multiply
    468.06x = 645.21 × 320.24
  4. Step 4: Simplify right side
    468.06x = 206,618.82
  5. Step 5: Solve for x
    x = 206,618.82/468.06
  6. Step 6: Final answer
    x = 441.44

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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.