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Finding the Fourth Proportional to 463.50, 639.67 and 256.54

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Solution

The fourth proportional to 463.50, 639.67 and 256.54 is: 354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 639.67 = 256.54 : x
  2. Step 2: Convert to fraction form
    463.50/639.67 = 256.54/x
  3. Step 3: Cross multiply
    463.50x = 639.67 × 256.54
  4. Step 4: Simplify right side
    463.50x = 164,100.94
  5. Step 5: Solve for x
    x = 164,100.94/463.50
  6. Step 6: Final answer
    x = 354.05

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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.