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Finding the Fourth Proportional to 463.05, 639.07 and 297.20

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Solution

The fourth proportional to 463.05, 639.07 and 297.20 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 639.07 = 297.20 : x
  2. Step 2: Convert to fraction form
    463.05/639.07 = 297.20/x
  3. Step 3: Cross multiply
    463.05x = 639.07 × 297.20
  4. Step 4: Simplify right side
    463.05x = 189,932.46
  5. Step 5: Solve for x
    x = 189,932.46/463.05
  6. Step 6: Final answer
    x = 410.18

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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.