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Finding the Fourth Proportional to 423.88, 584.88 and 266.68

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Solution

The fourth proportional to 423.88, 584.88 and 266.68 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 584.88 = 266.68 : x
  2. Step 2: Convert to fraction form
    423.88/584.88 = 266.68/x
  3. Step 3: Cross multiply
    423.88x = 584.88 × 266.68
  4. Step 4: Simplify right side
    423.88x = 155,975.80
  5. Step 5: Solve for x
    x = 155,975.80/423.88
  6. Step 6: Final answer
    x = 367.97

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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.