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Finding the Fourth Proportional to 717.25, 1,075.89 and 204.25

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Solution

The fourth proportional to 717.25, 1,075.89 and 204.25 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.25 : 1,075.89 = 204.25 : x
  2. Step 2: Convert to fraction form
    717.25/1,075.89 = 204.25/x
  3. Step 3: Cross multiply
    717.25x = 1,075.89 × 204.25
  4. Step 4: Simplify right side
    717.25x = 219,750.53
  5. Step 5: Solve for x
    x = 219,750.53/717.25
  6. Step 6: Final answer
    x = 306.38

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