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Finding the Fourth Proportional to 423.73, 632.81 and 382.22

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Solution

The fourth proportional to 423.73, 632.81 and 382.22 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.73 : 632.81 = 382.22 : x
  2. Step 2: Convert to fraction form
    423.73/632.81 = 382.22/x
  3. Step 3: Cross multiply
    423.73x = 632.81 × 382.22
  4. Step 4: Simplify right side
    423.73x = 241,872.80
  5. Step 5: Solve for x
    x = 241,872.80/423.73
  6. Step 6: Final answer
    x = 570.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.