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Finding the Fourth Proportional to 423.51, 584.49 and 266.27

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Solution

The fourth proportional to 423.51, 584.49 and 266.27 is: 367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.51 : 584.49 = 266.27 : x
  2. Step 2: Convert to fraction form
    423.51/584.49 = 266.27/x
  3. Step 3: Cross multiply
    423.51x = 584.49 × 266.27
  4. Step 4: Simplify right side
    423.51x = 155,632.15
  5. Step 5: Solve for x
    x = 155,632.15/423.51
  6. Step 6: Final answer
    x = 367.48

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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.