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Finding the Fourth Proportional to 464.21, 640.36 and 314.83

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Solution

The fourth proportional to 464.21, 640.36 and 314.83 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.21 : 640.36 = 314.83 : x
  2. Step 2: Convert to fraction form
    464.21/640.36 = 314.83/x
  3. Step 3: Cross multiply
    464.21x = 640.36 × 314.83
  4. Step 4: Simplify right side
    464.21x = 201,604.54
  5. Step 5: Solve for x
    x = 201,604.54/464.21
  6. Step 6: Final answer
    x = 434.30

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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.