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Finding the Fourth Proportional to 464.25, 640.67 and 289.70

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Solution

The fourth proportional to 464.25, 640.67 and 289.70 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 640.67 = 289.70 : x
  2. Step 2: Convert to fraction form
    464.25/640.67 = 289.70/x
  3. Step 3: Cross multiply
    464.25x = 640.67 × 289.70
  4. Step 4: Simplify right side
    464.25x = 185,597.45
  5. Step 5: Solve for x
    x = 185,597.45/464.25
  6. Step 6: Final answer
    x = 399.78

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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.