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Finding the Fourth Proportional to 423.57, 584.85 and 318.81

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Solution

The fourth proportional to 423.57, 584.85 and 318.81 is: 440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 584.85 = 318.81 : x
  2. Step 2: Convert to fraction form
    423.57/584.85 = 318.81/x
  3. Step 3: Cross multiply
    423.57x = 584.85 × 318.81
  4. Step 4: Simplify right side
    423.57x = 186,456.03
  5. Step 5: Solve for x
    x = 186,456.03/423.57
  6. Step 6: Final answer
    x = 440.20

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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.