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Finding the Fourth Proportional to 635.56, 876.82 and 470.16

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Solution

The fourth proportional to 635.56, 876.82 and 470.16 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.56 : 876.82 = 470.16 : x
  2. Step 2: Convert to fraction form
    635.56/876.82 = 470.16/x
  3. Step 3: Cross multiply
    635.56x = 876.82 × 470.16
  4. Step 4: Simplify right side
    635.56x = 412,245.69
  5. Step 5: Solve for x
    x = 412,245.69/635.56
  6. Step 6: Final answer
    x = 648.63

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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.