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Finding the Fourth Proportional to 591.28, 816.21 and 414.26

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Solution

The fourth proportional to 591.28, 816.21 and 414.26 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.28 : 816.21 = 414.26 : x
  2. Step 2: Convert to fraction form
    591.28/816.21 = 414.26/x
  3. Step 3: Cross multiply
    591.28x = 816.21 × 414.26
  4. Step 4: Simplify right side
    591.28x = 338,122.13
  5. Step 5: Solve for x
    x = 338,122.13/591.28
  6. Step 6: Final answer
    x = 571.85

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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.