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Finding the Fourth Proportional to 634.65, 875.62 and 385.92

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Solution

The fourth proportional to 634.65, 875.62 and 385.92 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.65 : 875.62 = 385.92 : x
  2. Step 2: Convert to fraction form
    634.65/875.62 = 385.92/x
  3. Step 3: Cross multiply
    634.65x = 875.62 × 385.92
  4. Step 4: Simplify right side
    634.65x = 337,919.27
  5. Step 5: Solve for x
    x = 337,919.27/634.65
  6. Step 6: Final answer
    x = 532.45

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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.