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Finding the Fourth Proportional to 463.68, 640.20 and 306.45

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Solution

The fourth proportional to 463.68, 640.20 and 306.45 is: 423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 640.20 = 306.45 : x
  2. Step 2: Convert to fraction form
    463.68/640.20 = 306.45/x
  3. Step 3: Cross multiply
    463.68x = 640.20 × 306.45
  4. Step 4: Simplify right side
    463.68x = 196,189.29
  5. Step 5: Solve for x
    x = 196,189.29/463.68
  6. Step 6: Final answer
    x = 423.11

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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.