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Finding the Fourth Proportional to 423.80, 584.78 and 266.52

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Solution

The fourth proportional to 423.80, 584.78 and 266.52 is: 367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 584.78 = 266.52 : x
  2. Step 2: Convert to fraction form
    423.80/584.78 = 266.52/x
  3. Step 3: Cross multiply
    423.80x = 584.78 × 266.52
  4. Step 4: Simplify right side
    423.80x = 155,855.57
  5. Step 5: Solve for x
    x = 155,855.57/423.80
  6. Step 6: Final answer
    x = 367.76

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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.