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Finding the Fourth Proportional to 463.76, 639.99 and 253.94

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Solution

The fourth proportional to 463.76, 639.99 and 253.94 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 639.99 = 253.94 : x
  2. Step 2: Convert to fraction form
    463.76/639.99 = 253.94/x
  3. Step 3: Cross multiply
    463.76x = 639.99 × 253.94
  4. Step 4: Simplify right side
    463.76x = 162,515.86
  5. Step 5: Solve for x
    x = 162,515.86/463.76
  6. Step 6: Final answer
    x = 350.43

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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.