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Finding the Fourth Proportional to 464.53, 640.02 and 306.88

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Solution

The fourth proportional to 464.53, 640.02 and 306.88 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 640.02 = 306.88 : x
  2. Step 2: Convert to fraction form
    464.53/640.02 = 306.88/x
  3. Step 3: Cross multiply
    464.53x = 640.02 × 306.88
  4. Step 4: Simplify right side
    464.53x = 196,409.34
  5. Step 5: Solve for x
    x = 196,409.34/464.53
  6. Step 6: Final answer
    x = 422.81

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Why These Related Problems?

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