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Finding the Fourth Proportional to 716.33, 1,075.17 and 351.36

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Solution

The fourth proportional to 716.33, 1,075.17 and 351.36 is: 527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.33 : 1,075.17 = 351.36 : x
  2. Step 2: Convert to fraction form
    716.33/1,075.17 = 351.36/x
  3. Step 3: Cross multiply
    716.33x = 1,075.17 × 351.36
  4. Step 4: Simplify right side
    716.33x = 377,771.73
  5. Step 5: Solve for x
    x = 377,771.73/716.33
  6. Step 6: Final answer
    x = 527.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.