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Finding the Fourth Proportional to 634.10, 875.10 and 385.37

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Solution

The fourth proportional to 634.10, 875.10 and 385.37 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 875.10 = 385.37 : x
  2. Step 2: Convert to fraction form
    634.10/875.10 = 385.37/x
  3. Step 3: Cross multiply
    634.10x = 875.10 × 385.37
  4. Step 4: Simplify right side
    634.10x = 337,237.77
  5. Step 5: Solve for x
    x = 337,237.77/634.10
  6. Step 6: Final answer
    x = 531.84

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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.