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Finding the Fourth Proportional to 463.50, 694.64 and 386.61

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Solution

The fourth proportional to 463.50, 694.64 and 386.61 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 694.64 = 386.61 : x
  2. Step 2: Convert to fraction form
    463.50/694.64 = 386.61/x
  3. Step 3: Cross multiply
    463.50x = 694.64 × 386.61
  4. Step 4: Simplify right side
    463.50x = 268,555.44
  5. Step 5: Solve for x
    x = 268,555.44/463.50
  6. Step 6: Final answer
    x = 579.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.