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Finding the Fourth Proportional to 463.64, 640.03 and 306.37

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Solution

The fourth proportional to 463.64, 640.03 and 306.37 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 640.03 = 306.37 : x
  2. Step 2: Convert to fraction form
    463.64/640.03 = 306.37/x
  3. Step 3: Cross multiply
    463.64x = 640.03 × 306.37
  4. Step 4: Simplify right side
    463.64x = 196,085.99
  5. Step 5: Solve for x
    x = 196,085.99/463.64
  6. Step 6: Final answer
    x = 422.93

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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.