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Finding the Fourth Proportional to 632.36, 872.37 and 411.23

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Solution

The fourth proportional to 632.36, 872.37 and 411.23 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 872.37 = 411.23 : x
  2. Step 2: Convert to fraction form
    632.36/872.37 = 411.23/x
  3. Step 3: Cross multiply
    632.36x = 872.37 × 411.23
  4. Step 4: Simplify right side
    632.36x = 358,740.35
  5. Step 5: Solve for x
    x = 358,740.35/632.36
  6. Step 6: Final answer
    x = 567.31

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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.