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Finding the Fourth Proportional to 634.83, 876.33 and 460.14

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Solution

The fourth proportional to 634.83, 876.33 and 460.14 is: 635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.83 : 876.33 = 460.14 : x
  2. Step 2: Convert to fraction form
    634.83/876.33 = 460.14/x
  3. Step 3: Cross multiply
    634.83x = 876.33 × 460.14
  4. Step 4: Simplify right side
    634.83x = 403,234.49
  5. Step 5: Solve for x
    x = 403,234.49/634.83
  6. Step 6: Final answer
    x = 635.18

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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.