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Finding the Fourth Proportional to 632.16, 872.24 and 366.56

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Solution

The fourth proportional to 632.16, 872.24 and 366.56 is: 505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 872.24 = 366.56 : x
  2. Step 2: Convert to fraction form
    632.16/872.24 = 366.56/x
  3. Step 3: Cross multiply
    632.16x = 872.24 × 366.56
  4. Step 4: Simplify right side
    632.16x = 319,728.29
  5. Step 5: Solve for x
    x = 319,728.29/632.16
  6. Step 6: Final answer
    x = 505.77

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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.