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Finding the Fourth Proportional to 463.63, 639.81 and 256.63

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Solution

The fourth proportional to 463.63, 639.81 and 256.63 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 639.81 = 256.63 : x
  2. Step 2: Convert to fraction form
    463.63/639.81 = 256.63/x
  3. Step 3: Cross multiply
    463.63x = 639.81 × 256.63
  4. Step 4: Simplify right side
    463.63x = 164,189.96
  5. Step 5: Solve for x
    x = 164,189.96/463.63
  6. Step 6: Final answer
    x = 354.14

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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.