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Finding the Fourth Proportional to 634.06, 950.25 and 325.65

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Solution

The fourth proportional to 634.06, 950.25 and 325.65 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.06 : 950.25 = 325.65 : x
  2. Step 2: Convert to fraction form
    634.06/950.25 = 325.65/x
  3. Step 3: Cross multiply
    634.06x = 950.25 × 325.65
  4. Step 4: Simplify right side
    634.06x = 309,448.91
  5. Step 5: Solve for x
    x = 309,448.91/634.06
  6. Step 6: Final answer
    x = 488.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.