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Finding the Fourth Proportional to 423.48, 632.24 and 382.56

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Solution

The fourth proportional to 423.48, 632.24 and 382.56 is: 571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.48 : 632.24 = 382.56 : x
  2. Step 2: Convert to fraction form
    423.48/632.24 = 382.56/x
  3. Step 3: Cross multiply
    423.48x = 632.24 × 382.56
  4. Step 4: Simplify right side
    423.48x = 241,869.73
  5. Step 5: Solve for x
    x = 241,869.73/423.48
  6. Step 6: Final answer
    x = 571.15

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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.