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Finding the Fourth Proportional to 717.40, 1,075.30 and 306.78

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Solution

The fourth proportional to 717.40, 1,075.30 and 306.78 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.40 : 1,075.30 = 306.78 : x
  2. Step 2: Convert to fraction form
    717.40/1,075.30 = 306.78/x
  3. Step 3: Cross multiply
    717.40x = 1,075.30 × 306.78
  4. Step 4: Simplify right side
    717.40x = 329,880.53
  5. Step 5: Solve for x
    x = 329,880.53/717.40
  6. Step 6: Final answer
    x = 459.83

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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.