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Finding the Fourth Proportional to 635.57, 876.51 and 414.30

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Solution

The fourth proportional to 635.57, 876.51 and 414.30 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.57 : 876.51 = 414.30 : x
  2. Step 2: Convert to fraction form
    635.57/876.51 = 414.30/x
  3. Step 3: Cross multiply
    635.57x = 876.51 × 414.30
  4. Step 4: Simplify right side
    635.57x = 363,138.09
  5. Step 5: Solve for x
    x = 363,138.09/635.57
  6. Step 6: Final answer
    x = 571.36

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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.