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Finding the Fourth Proportional to 423.12, 582.60 and 323.62

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Solution

The fourth proportional to 423.12, 582.60 and 323.62 is: 445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 582.60 = 323.62 : x
  2. Step 2: Convert to fraction form
    423.12/582.60 = 323.62/x
  3. Step 3: Cross multiply
    423.12x = 582.60 × 323.62
  4. Step 4: Simplify right side
    423.12x = 188,541.01
  5. Step 5: Solve for x
    x = 188,541.01/423.12
  6. Step 6: Final answer
    x = 445.60

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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.