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Finding the Fourth Proportional to 463.51, 636.29 and 397.90

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Solution

The fourth proportional to 463.51, 636.29 and 397.90 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 636.29 = 397.90 : x
  2. Step 2: Convert to fraction form
    463.51/636.29 = 397.90/x
  3. Step 3: Cross multiply
    463.51x = 636.29 × 397.90
  4. Step 4: Simplify right side
    463.51x = 253,179.79
  5. Step 5: Solve for x
    x = 253,179.79/463.51
  6. Step 6: Final answer
    x = 546.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.