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Finding the Fourth Proportional to 635.20, 876.32 and 460.16

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Solution

The fourth proportional to 635.20, 876.32 and 460.16 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 876.32 = 460.16 : x
  2. Step 2: Convert to fraction form
    635.20/876.32 = 460.16/x
  3. Step 3: Cross multiply
    635.20x = 876.32 × 460.16
  4. Step 4: Simplify right side
    635.20x = 403,247.41
  5. Step 5: Solve for x
    x = 403,247.41/635.20
  6. Step 6: Final answer
    x = 634.84

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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.