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Finding the Fourth Proportional to 423.09, 584.01 and 324.72

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Solution

The fourth proportional to 423.09, 584.01 and 324.72 is: 448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 584.01 = 324.72 : x
  2. Step 2: Convert to fraction form
    423.09/584.01 = 324.72/x
  3. Step 3: Cross multiply
    423.09x = 584.01 × 324.72
  4. Step 4: Simplify right side
    423.09x = 189,639.73
  5. Step 5: Solve for x
    x = 189,639.73/423.09
  6. Step 6: Final answer
    x = 448.23

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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.