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Finding the Fourth Proportional to 463.79, 640.02 and 251.10

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Solution

The fourth proportional to 463.79, 640.02 and 251.10 is: 346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.79 : 640.02 = 251.10 : x
  2. Step 2: Convert to fraction form
    463.79/640.02 = 251.10/x
  3. Step 3: Cross multiply
    463.79x = 640.02 × 251.10
  4. Step 4: Simplify right side
    463.79x = 160,706.62
  5. Step 5: Solve for x
    x = 160,706.62/463.79
  6. Step 6: Final answer
    x = 346.51

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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.