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Finding the Fourth Proportional to 463.76, 639.98 and 256.76

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Solution

The fourth proportional to 463.76, 639.98 and 256.76 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 639.98 = 256.76 : x
  2. Step 2: Convert to fraction form
    463.76/639.98 = 256.76/x
  3. Step 3: Cross multiply
    463.76x = 639.98 × 256.76
  4. Step 4: Simplify right side
    463.76x = 164,321.26
  5. Step 5: Solve for x
    x = 164,321.26/463.76
  6. Step 6: Final answer
    x = 354.32

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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.