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Finding the Fourth Proportional to 463.85, 640.21 and 306.50

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Solution

The fourth proportional to 463.85, 640.21 and 306.50 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 640.21 = 306.50 : x
  2. Step 2: Convert to fraction form
    463.85/640.21 = 306.50/x
  3. Step 3: Cross multiply
    463.85x = 640.21 × 306.50
  4. Step 4: Simplify right side
    463.85x = 196,220.97
  5. Step 5: Solve for x
    x = 196,220.97/463.85
  6. Step 6: Final answer
    x = 423.02

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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.