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Finding the Fourth Proportional to 632.42, 872.72 and 366.84

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Solution

The fourth proportional to 632.42, 872.72 and 366.84 is: 506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.42 : 872.72 = 366.84 : x
  2. Step 2: Convert to fraction form
    632.42/872.72 = 366.84/x
  3. Step 3: Cross multiply
    632.42x = 872.72 × 366.84
  4. Step 4: Simplify right side
    632.42x = 320,146.77
  5. Step 5: Solve for x
    x = 320,146.77/632.42
  6. Step 6: Final answer
    x = 506.23

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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.