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Finding the Fourth Proportional to 716.73, 1,075.09 and 229.78

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Solution

The fourth proportional to 716.73, 1,075.09 and 229.78 is: 344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.73 : 1,075.09 = 229.78 : x
  2. Step 2: Convert to fraction form
    716.73/1,075.09 = 229.78/x
  3. Step 3: Cross multiply
    716.73x = 1,075.09 × 229.78
  4. Step 4: Simplify right side
    716.73x = 247,034.18
  5. Step 5: Solve for x
    x = 247,034.18/716.73
  6. Step 6: Final answer
    x = 344.67

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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.