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Finding the Fourth Proportional to 634.69, 875.86 and 369.15

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Solution

The fourth proportional to 634.69, 875.86 and 369.15 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 875.86 = 369.15 : x
  2. Step 2: Convert to fraction form
    634.69/875.86 = 369.15/x
  3. Step 3: Cross multiply
    634.69x = 875.86 × 369.15
  4. Step 4: Simplify right side
    634.69x = 323,323.72
  5. Step 5: Solve for x
    x = 323,323.72/634.69
  6. Step 6: Final answer
    x = 509.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.