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Finding the Fourth Proportional to 632.48, 872.71 and 370.49

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Solution

The fourth proportional to 632.48, 872.71 and 370.49 is: 511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.48 : 872.71 = 370.49 : x
  2. Step 2: Convert to fraction form
    632.48/872.71 = 370.49/x
  3. Step 3: Cross multiply
    632.48x = 872.71 × 370.49
  4. Step 4: Simplify right side
    632.48x = 323,325.04
  5. Step 5: Solve for x
    x = 323,325.04/632.48
  6. Step 6: Final answer
    x = 511.21

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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.