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Finding the Fourth Proportional to 632.26, 872.31 and 370.09

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Solution

The fourth proportional to 632.26, 872.31 and 370.09 is: 510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 872.31 = 370.09 : x
  2. Step 2: Convert to fraction form
    632.26/872.31 = 370.09/x
  3. Step 3: Cross multiply
    632.26x = 872.31 × 370.09
  4. Step 4: Simplify right side
    632.26x = 322,833.21
  5. Step 5: Solve for x
    x = 322,833.21/632.26
  6. Step 6: Final answer
    x = 510.60

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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.