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Finding the Fourth Proportional to 463.70, 639.42 and 297.80

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Solution

The fourth proportional to 463.70, 639.42 and 297.80 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.70 : 639.42 = 297.80 : x
  2. Step 2: Convert to fraction form
    463.70/639.42 = 297.80/x
  3. Step 3: Cross multiply
    463.70x = 639.42 × 297.80
  4. Step 4: Simplify right side
    463.70x = 190,419.28
  5. Step 5: Solve for x
    x = 190,419.28/463.70
  6. Step 6: Final answer
    x = 410.65

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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.