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Finding the Fourth Proportional to 463.61, 639.84 and 298.29

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Solution

The fourth proportional to 463.61, 639.84 and 298.29 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.61 : 639.84 = 298.29 : x
  2. Step 2: Convert to fraction form
    463.61/639.84 = 298.29/x
  3. Step 3: Cross multiply
    463.61x = 639.84 × 298.29
  4. Step 4: Simplify right side
    463.61x = 190,857.87
  5. Step 5: Solve for x
    x = 190,857.87/463.61
  6. Step 6: Final answer
    x = 411.68

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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.