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Finding the Fourth Proportional to 463, 639.12 and 297.58

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Solution

The fourth proportional to 463, 639.12 and 297.58 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 639.12 = 297.58 : x
  2. Step 2: Convert to fraction form
    463/639.12 = 297.58/x
  3. Step 3: Cross multiply
    463x = 639.12 × 297.58
  4. Step 4: Simplify right side
    463x = 190,189.33
  5. Step 5: Solve for x
    x = 190,189.33/463
  6. Step 6: Final answer
    x = 410.78

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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.