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Finding the Fourth Proportional to 463.56, 639.65 and 264.36

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Solution

The fourth proportional to 463.56, 639.65 and 264.36 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 639.65 = 264.36 : x
  2. Step 2: Convert to fraction form
    463.56/639.65 = 264.36/x
  3. Step 3: Cross multiply
    463.56x = 639.65 × 264.36
  4. Step 4: Simplify right side
    463.56x = 169,099.11
  5. Step 5: Solve for x
    x = 169,099.11/463.56
  6. Step 6: Final answer
    x = 364.78

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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.