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Finding the Fourth Proportional to 423.97, 584.82 and 266.25

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Solution

The fourth proportional to 423.97, 584.82 and 266.25 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 584.82 = 266.25 : x
  2. Step 2: Convert to fraction form
    423.97/584.82 = 266.25/x
  3. Step 3: Cross multiply
    423.97x = 584.82 × 266.25
  4. Step 4: Simplify right side
    423.97x = 155,710.52
  5. Step 5: Solve for x
    x = 155,710.52/423.97
  6. Step 6: Final answer
    x = 367.27

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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.