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Finding the Fourth Proportional to 464.37, 639.73 and 324.24

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Solution

The fourth proportional to 464.37, 639.73 and 324.24 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.37 : 639.73 = 324.24 : x
  2. Step 2: Convert to fraction form
    464.37/639.73 = 324.24/x
  3. Step 3: Cross multiply
    464.37x = 639.73 × 324.24
  4. Step 4: Simplify right side
    464.37x = 207,427.66
  5. Step 5: Solve for x
    x = 207,427.66/464.37
  6. Step 6: Final answer
    x = 446.68

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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.